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  Subjects -> BUSINESS AND ECONOMICS (Total: 3287 journals)
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BUSINESS AND ECONOMICS (1215 journals)                  1 2 3 4 5 6 7 | Last

Showing 1 - 200 of 1566 Journals sorted alphabetically
4OR: A Quarterly Journal of Operations Research     Hybrid Journal   (Followers: 10)
Abacus     Hybrid Journal   (Followers: 13)
Accounting Forum     Hybrid Journal   (Followers: 25)
Acta Amazonica     Open Access   (Followers: 5)
Acta Commercii     Open Access   (Followers: 4)
Acta Oeconomica     Full-text available via subscription   (Followers: 3)
Acta Scientiarum. Human and Social Sciences     Open Access   (Followers: 8)
Acta Universitatis Danubius. Œconomica     Open Access   (Followers: 3)
Acta Universitatis Nicolai Copernici Zarządzanie     Open Access   (Followers: 4)
AD-minister     Open Access   (Followers: 3)
Adam Academy : Journal of Social Sciences / Adam Akademi : Sosyal Bilimler Dergisi     Open Access  
Admisi dan Bisnis     Open Access  
ADR Bulletin     Open Access   (Followers: 5)
Advances in Developing Human Resources     Hybrid Journal   (Followers: 25)
Advances in Economics and Business     Open Access   (Followers: 13)
AfricaGrowth Agenda     Full-text available via subscription   (Followers: 1)
African Affairs     Hybrid Journal   (Followers: 63)
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African Journal of Business Ethics     Open Access   (Followers: 6)
African Review of Economics and Finance     Open Access   (Followers: 3)
Afro-Asian Journal of Finance and Accounting     Hybrid Journal   (Followers: 7)
Afyon Kocatepe Üniversitesi İktisadi ve İdari Bilimler Fakültesi Dergisi     Open Access   (Followers: 3)
Agronomy     Open Access   (Followers: 10)
Akademik Yaklaşımlar Dergisi     Open Access  
Akademika : Journal of Southeast Asia Social Sciences and Humanities     Open Access   (Followers: 7)
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American Economic Journal : Applied Economics     Full-text available via subscription   (Followers: 186)
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American Journal of Health Economics     Full-text available via subscription   (Followers: 13)
American Journal of Industrial and Business Management     Open Access   (Followers: 24)
American Journal of Medical Quality     Hybrid Journal   (Followers: 7)
American Law and Economics Review     Hybrid Journal   (Followers: 27)
ANALES de la Universidad Central del Ecuador     Open Access   (Followers: 3)
Ankara University SBF Journal     Open Access  
Annales de l'Institut Henri Poincare (C) Non Linear Analysis     Full-text available via subscription   (Followers: 1)
Annals in Social Responsibility     Full-text available via subscription  
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Annual Review of Economics     Full-text available via subscription   (Followers: 34)
Anuario Facultad de Ciencias Económicas y Empresariales     Open Access   (Followers: 2)
Applied Developmental Science     Hybrid Journal   (Followers: 3)
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Applied Economics Letters     Hybrid Journal   (Followers: 29)
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Applied Mathematical Finance     Hybrid Journal   (Followers: 8)
Applied Stochastic Models in Business and Industry     Hybrid Journal   (Followers: 6)
Arab Economic and Business Journal     Open Access   (Followers: 4)
Archives of Business Research     Open Access   (Followers: 6)
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Argomenti. Rivista di economia, cultura e ricerca sociale     Open Access   (Followers: 4)
ASEAN Economic Bulletin     Full-text available via subscription   (Followers: 5)
Asia Pacific Business Review     Hybrid Journal   (Followers: 7)
Asia Pacific Journal of Human Resources     Hybrid Journal   (Followers: 311)
Asia Pacific Journal of Innovation and Entrepreneurship     Open Access  
Asia Pacific Viewpoint     Hybrid Journal   (Followers: 1)
Asia-Pacific Journal of Business Administration     Hybrid Journal   (Followers: 5)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
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Asian Business Review     Open Access   (Followers: 3)
Asian Case Research Journal     Hybrid Journal   (Followers: 1)
Asian Development Review     Open Access   (Followers: 13)
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Asian Economic Papers     Hybrid Journal   (Followers: 7)
Asian Economic Policy Review     Hybrid Journal   (Followers: 4)
Asian Journal of Accounting and Governance     Open Access   (Followers: 3)
Asian Journal of Business Ethics     Hybrid Journal   (Followers: 9)
Asian Journal of Social Sciences and Management Studies     Open Access   (Followers: 7)
Asian Journal of Sustainability and Social Responsibility     Open Access   (Followers: 1)
Asian Journal of Technology Innovation     Hybrid Journal   (Followers: 8)
Asian-pacific Economic Literature     Hybrid Journal   (Followers: 5)
AStA Wirtschafts- und Sozialstatistisches Archiv     Hybrid Journal   (Followers: 5)
ATA Journal of Legal Tax Research     Hybrid Journal   (Followers: 4)
Atlantic Economic Journal     Hybrid Journal   (Followers: 11)
Australasian Journal of Regional Studies, The     Full-text available via subscription   (Followers: 1)
Australian Cottongrower, The     Full-text available via subscription   (Followers: 1)
Australian Economic Papers     Hybrid Journal   (Followers: 34)
Australian Economic Review     Hybrid Journal   (Followers: 3)
Australian Journal of Maritime and Ocean Affairs     Hybrid Journal   (Followers: 9)
Balkan Region Conference on Engineering and Business Education     Open Access   (Followers: 1)
Baltic Journal of Real Estate Economics and Construction Management     Open Access   (Followers: 2)
Banks in Insurance Report     Hybrid Journal   (Followers: 1)
BBR - Brazilian Business Review     Open Access   (Followers: 4)
Benchmarking : An International Journal     Hybrid Journal   (Followers: 10)
Benefit : Jurnal Manajemen dan Bisnis     Open Access   (Followers: 1)
BER : Consumer Confidence Survey     Full-text available via subscription   (Followers: 3)
BER : Economic Prospects : An Executive Summary     Full-text available via subscription  
BER : Economic Prospects : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Intermediate Goods Industries Survey     Full-text available via subscription  
BER : Manufacturing Survey : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Motor Trade Survey     Full-text available via subscription  
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BER : Retail Survey : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Survey of Business Conditions in Building and Construction : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Survey of Business Conditions in Manufacturing : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Survey of Business Conditions in Retail : An Executive Summary     Full-text available via subscription   (Followers: 3)
BER : Trends : Full Survey     Full-text available via subscription   (Followers: 1)
BER : Wholesale Sector Survey     Full-text available via subscription  
Berkeley Business Law Journal     Free   (Followers: 9)
Beykent Üniversitesi Sosyal Bilimler Dergisi     Open Access  
Bio-based and Applied Economics     Open Access   (Followers: 1)
Biodegradation     Hybrid Journal   (Followers: 1)
Biology Direct     Open Access   (Followers: 7)
Bitlis Eren Üniversitesi İktisadi Ve İdari Bilimler Fakültesi Akademik İzdüşüm Dergisi     Full-text available via subscription  
BizInfo (Blace) Journal of Economics, Management and Informatics     Open Access  
Black Enterprise     Full-text available via subscription  
Board & Administrator for Administrators only     Hybrid Journal  
Boletim Técnico do Senac     Open Access  
Border Crossing : Transnational Working Papers     Open Access   (Followers: 4)
Briefings in Real Estate Finance     Hybrid Journal   (Followers: 5)
British Journal of Industrial Relations     Hybrid Journal   (Followers: 36)
Brookings Papers on Economic Activity     Open Access   (Followers: 46)
Brookings Trade Forum     Full-text available via subscription   (Followers: 3)
BRQ Business Research Quarterly     Open Access   (Followers: 2)
Building Sustainable Legacies : The New Frontier Of Societal Value Co-Creation     Full-text available via subscription   (Followers: 1)
Bulletin of Economic Research     Hybrid Journal   (Followers: 17)
Bulletin of Geography. Socio-economic Series     Open Access   (Followers: 5)
Bulletin of Indonesian Economic Studies     Hybrid Journal   (Followers: 3)
Bulletin of the Dnipropetrovsk University. Series : Management of Innovations     Open Access   (Followers: 1)
Business & Entrepreneurship Journal     Open Access   (Followers: 19)
Business & Information Systems Engineering     Hybrid Journal   (Followers: 4)
Business & Society     Hybrid Journal   (Followers: 10)
Business : Theory and Practice / Verslas : Teorija ir Praktika     Open Access   (Followers: 1)
Business and Economic Research     Open Access   (Followers: 7)
Business and Management Horizons     Open Access   (Followers: 12)
Business and Management Research     Open Access   (Followers: 18)
Business and Management Studies     Open Access   (Followers: 11)
Business and Politics     Hybrid Journal   (Followers: 8)
Business and Professional Communication Quarterly     Hybrid Journal   (Followers: 7)
Business and Society Review     Hybrid Journal   (Followers: 5)
Business Economics     Hybrid Journal   (Followers: 9)
Business Ethics Quarterly     Full-text available via subscription   (Followers: 13)
Business Ethics: A European Review     Hybrid Journal   (Followers: 18)
Business Horizons     Hybrid Journal   (Followers: 8)
Business Information Review     Hybrid Journal   (Followers: 14)
Business Management and Strategy     Open Access   (Followers: 41)
Business Research     Hybrid Journal   (Followers: 2)
Business Strategy and the Environment     Hybrid Journal   (Followers: 13)
Business Strategy Review     Hybrid Journal   (Followers: 7)
Business Strategy Series     Hybrid Journal   (Followers: 6)
Business Systems & Economics     Open Access   (Followers: 2)
Business Systems Research Journal     Open Access   (Followers: 5)
Business, Management and Education     Open Access   (Followers: 17)
Business, Peace and Sustainable Development     Full-text available via subscription   (Followers: 3)
Business: Theory and Practice     Open Access  
Bustan     Hybrid Journal  
Cadernos EBAPE.BR     Open Access   (Followers: 1)
Cambridge Journal of Economics     Hybrid Journal   (Followers: 61)
Cambridge Journal of Regions, Economy and Society     Hybrid Journal   (Followers: 10)
Canadian Journal of Administrative Sciences / Revue Canadienne des Sciences de l Administration     Hybrid Journal   (Followers: 1)
Canadian Journal of Economics/Revue Canadienne d`Economique     Hybrid Journal   (Followers: 29)
Canadian journal of nonprofit and social economy research     Open Access   (Followers: 2)
Capitalism and Society     Hybrid Journal   (Followers: 2)
Capitalism Nature Socialism     Hybrid Journal   (Followers: 17)
Cappadocia Academic Review     Open Access  
Case Studies in Business and Management     Open Access   (Followers: 10)
CBU International Conference Proceedings     Open Access   (Followers: 3)
Central European Business Review     Open Access   (Followers: 1)
Central European Journal of Operations Research     Hybrid Journal   (Followers: 5)
Central European Journal of Public Policy     Open Access   (Followers: 2)
CESifo Economic Studies     Hybrid Journal   (Followers: 17)
Chain Reaction     Full-text available via subscription  
Challenge     Full-text available via subscription   (Followers: 4)
China & World Economy     Hybrid Journal   (Followers: 15)
China : An International Journal     Full-text available via subscription   (Followers: 18)
China Economic Journal: The Official Journal of the China Center for Economic Research (CCER) at Peking University     Hybrid Journal   (Followers: 13)
China Economic Review     Hybrid Journal   (Followers: 11)
China Finance Review International     Hybrid Journal   (Followers: 5)
China Nonprofit Review     Hybrid Journal   (Followers: 3)
China perspectives     Open Access   (Followers: 12)
Chinese Economy     Full-text available via subscription  
Ciência & Saúde Coletiva     Open Access   (Followers: 2)
CLIO América     Open Access   (Followers: 1)
Cliometrica     Hybrid Journal   (Followers: 4)
COEPTUM     Open Access  
Community Development Journal     Hybrid Journal   (Followers: 27)
Compensation & Benefits Review     Hybrid Journal   (Followers: 7)
Competition & Change     Hybrid Journal   (Followers: 11)
Competitive Intelligence Review     Hybrid Journal   (Followers: 2)
Competitiveness Review : An International Business Journal incorporating Journal of Global Competitiveness     Hybrid Journal   (Followers: 5)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computer Law & Security Review     Hybrid Journal   (Followers: 17)
Computers & Operations Research     Hybrid Journal   (Followers: 12)
Construction Innovation: Information, Process, Management     Hybrid Journal   (Followers: 14)
Contemporary Wales     Full-text available via subscription   (Followers: 1)
Contributions to Political Economy     Hybrid Journal   (Followers: 5)
Corporate Communications An International Journal     Hybrid Journal   (Followers: 7)
Corporate Philanthropy Report     Hybrid Journal   (Followers: 2)
Corporate Reputation Review     Hybrid Journal   (Followers: 5)
Creative and Knowledge Society     Open Access   (Followers: 9)
Creative Industries Journal     Hybrid Journal   (Followers: 8)

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Journal Cover
Annales de l'Institut Henri Poincare (C) Non Linear Analysis
Journal Prestige (SJR): 2.817
Citation Impact (citeScore): 2
Number of Followers: 1  
 
  Full-text available via subscription Subscription journal
ISSN (Print) 0294-1449
Published by Elsevier Homepage  [3162 journals]
  • Topological attractors of contracting Lorenz maps
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Paulo Brandão We study the non-wandering set of contracting Lorenz maps. We show that if such a map f doesn't have any attracting periodic orbit, then there is a unique topological attractor. Furthermore, we classify the possible kinds of attractors that may occur.
       
  • Analysis of the adiabatic piston problem via methods of continuum
           mechanics
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Eduard Feireisl, Václav Mácha, Šárka Nečasová, Marius Tucsnak We consider a system modelling the motion of a piston in a cylinder filled by a viscous heat conducting gas. The piston is moving longitudinally without friction under the influence of the forces exerted by the gas. In addition, the piston is supposed to be thermally insulating (adiabatic piston). This fact raises several challenges which received a considerable attention, essentially in the statistical physics literature. We study the problem via the methods of continuum mechanics, specifically, the motion of the gas is described by means of the Navier–Stokes–Fourier system in one space dimension, coupled with Newton's second law governing the motion of the piston. We establish global in time existence of strong solutions and show that the system stabilizes to an equilibrium state for t→∞.
       
  • Uniform convergence for the incompressible limit of a tumor growth model
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Inwon Kim, Olga Turanova We study a model introduced by Perthame and Vauchelet [19] that describes the growth of a tumor governed by Brinkman's Law, which takes into account friction between the tumor cells. We adopt the viscosity solution approach to establish an optimal uniform convergence result of the tumor density as well as the pressure in the incompressible limit. The system lacks standard maximum principle, and thus modification of the usual approach is necessary.
       
  • Well-posedness for mean-field evolutions arising in superconductivity
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Mitia Duerinckx, Julian Fischer We establish the existence of a global solution for a new family of fluid-like equations, which are obtained in certain regimes in [24] as the mean-field evolution of the supercurrent density in a (2D section of a) type-II superconductor with pinning and with imposed electric current. We also consider general vortex-sheet initial data, and investigate the uniqueness and regularity properties of the solution. For some choice of parameters, the equation under investigation coincides with the so-called lake equation from 2D shallow water fluid dynamics, and our analysis then leads to a new existence result for rough initial data.
       
  • Initial-boundary value problems in a half-strip for two-dimensional
           Zakharov–Kuznetsov equation
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Andrei V. Faminskii Initial-boundary value problems in a half-strip with different types of boundary conditions for two-dimensional Zakharov–Kuznetsov equation are considered. Results on global existence, uniqueness and long-time decay of weak and regular solutions are established.
       
  • Divergence-free positive symmetric tensors and fluid dynamics
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Denis Serre We consider d×d tensors A(x) that are symmetric, positive semi-definite, and whose row-divergence vanishes identically. We establish sharp inequalities for the integral of (det⁡A)1d−1. We apply them to models of compressible inviscid fluids: Euler equations, Euler–Fourier, relativistic Euler, Boltzman, BGK, etc. We deduce an a priori estimate for a new quantity, namely the space–time integral of ρ1np, where ρ is the mass density, p the pressure and n the space dimension. For kinetic models, the corresponding quantity generalizes Bony's functional.
       
  • On the dual formulation of obstacle problems for the total variation and
           the area functional
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Christoph Scheven, Thomas Schmidt We investigate the Dirichlet minimization problem for the total variation and the area functional with a one-sided obstacle. Relying on techniques of convex analysis, we identify certain dual maximization problems for bounded divergence-measure fields, and we establish duality formulas and pointwise relations between (generalized) BV minimizers and dual maximizers. As a particular case, these considerations yield a full characterization of BV minimizers in terms of Euler equations with a measure datum. Notably, our results apply to very general obstacles such as BV obstacles, thin obstacles, and boundary obstacles, and they include information on exceptional sets and up to the boundary. As a side benefit, in some cases we also obtain assertions on the limit behavior of p-Laplace type obstacle problems for p↘1.On the technical side, the statements and proofs of our results crucially depend on new versions of Anzellotti type pairings which involve general divergence-measure fields and specific representatives of BV functions. In addition, in the proofs we employ several fine results on (BV) capacities and one-sided approximation.
       
  • A Calabi theorem for solutions to the parabolic Monge–Ampère
           equation with periodic data
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Wei Zhang, Jiguang Bao We classify all solutions to−utdet⁡D2u=f(x) in R−n+1, where f∈Cα(Rn) is a positive periodic function in x. More precisely, if u is a parabolically convex solution to above equation, then u is the sum of a convex quadratic polynomial in x, a periodic function in x and a linear function of t. It can be viewed as a generalization of the work of Gutiérrez and Huang in 1998. And along the line of approach in this paper, we can treat other parabolic Monge–Ampère equations.RésuméNous classifions toutes les solutions à−utdet⁡D2u=f(x) in R−n+1, où f∈Cα(Rn) est une fonction périodique positive en x. Plus précisément, si u est une solution paraboliquement convexe de l'équation ci-dessus, alors u est la somme d'un polynôme quadratique convexe en x, une fonction périodique en x et une fonction linéaire de t. Cela peut être considéré comme une généralisation du travail de Gutiérrez et Huang en 1998. Et le long de la ligne d'approche dans cet article, nous pouvons traiter d'autres équations paraboliques Monge–Ampère.
       
  • Gagliardo–Nirenberg inequalities and non-inequalities: The full
           story
    • Abstract: Publication date: August 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 5Author(s): Haïm Brezis, Petru Mironescu We investigate the validity of the Gagliardo–Nirenberg type inequality(1)‖f‖Ws,p(Ω)≲‖f‖Ws1,p1(Ω)θ‖f‖Ws2,p2(Ω)1−θ, with Ω⊂RN. Here, 0≤s1≤s≤s2 are non negative numbers (not necessarily integers), 1≤p1,p,p2≤∞, and we assume the standard relationss=θs1+(1−θ)s2,1/p=θ/p1+(1−θ)/p2 for some θ∈(0,1).By the seminal contributions of E. Gagliardo and L. Nirenberg, (1) holds when s1,s2,s are integers. It turns out that (1) holds for “most” of values of s1,…,p2, but not for all of them. We present an explicit condition on s1,s2,p1,p2 which allows to decide whether (1) holds or fails.
       
  • Hessian estimates for convex solutions to quadratic Hessian equation
    • Abstract: Publication date: Available online 5 July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Matt McGonagle, Chong Song, Yu Yuan We derive Hessian estimates for convex solutions to quadratic Hessian equation by compactness argument.RésuméNous dérivons des estimations de Hessian pour des solutions convexes á l'équation de Hessian quadratique par argument de compacité.
       
  • Existence of strong minimizers for the Griffith static fracture model in
           dimension two
    • Abstract: Publication date: Available online 5 July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Sergio Conti, Matteo Focardi, Flaviana Iurlano We consider the Griffith fracture model in two spatial dimensions, and prove existence of strong minimizers, with closed jump set and continuously differentiable deformation fields. One key ingredient, which is the object of the present paper, is a generalization of the decay estimate by De Giorgi, Carriero, and Leaci to the vectorial situation. This is based on replacing the coarea formula by a method to approximate SBDp functions with small jump set by Sobolev functions and is restricted to two dimensions. The other two ingredients are contained in companion papers and consist respectively in regularity results for vectorial elliptic problems of the elasticity type and in a method to approximate in energy GSBDp functions by SBVp ones.
       
  • On a free boundary problem and minimal surfaces
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Yong Liu, Kelei Wang, Juncheng Wei From minimal surfaces such as Simons' cone and catenoids, using refined Lyapunov–Schmidt reduction method, we construct new solutions for a free boundary problem whose free boundary has two components. In dimension 8, using variational arguments, we also obtain solutions which are global minimizers of the corresponding energy functional. This shows that the theorem of Valdinoci et al. [41], [42] is optimal.
       
  • Well-posedness of the linearized Prandtl equation around a non-monotonic
           shear flow
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Dongxiang Chen, Yuxi Wang, Zhifei Zhang In this paper, we prove the well-posedness of the linearized Prandtl equation around a non-monotonic shear flow in Gevrey class 2−θ for any θ>0. This result is almost optimal by the ill-posedness result proved by Gérard-Varet and Dormy, who construct a class of solution with the growth like ekt for the linearized Prandtl equation around a non-monotonic shear flow.
       
  • Decay rate of iterated integrals of branched rough paths
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Horatio Boedihardjo Iterated integrals of paths arise frequently in the study of the Taylor's expansion for controlled differential equations. We will prove a factorial decay estimate, conjectured by M. Gubinelli, for the iterated integrals of non-geometric rough paths. We will explain, with a counter example, why the conventional approach of using the neoclassical inequality fails. Our proof involves a concavity estimate for sums over rooted trees and a non-trivial extension of T. Lyons' proof in 1994 for the factorial decay of iterated Young's integrals.
       
  • Singular integrals and a problem on mixing flows
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Mahir Hadžić, Andreas Seeger, Charles K. Smart, Brian Street We prove a result related to Bressan's mixing problem. We establish an inequality for the change of Bianchini semi-norms of characteristic functions under the flow generated by a divergence free time dependent vector field. The approach leads to a bilinear singular integral operator for which we prove bounds on Hardy spaces. We include additional observations about the approach and a discrete toy version of Bressan's problem.
       
  • Long time asymptotic behavior of the focusing nonlinear Schrödinger
           equation
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Michael Borghese, Robert Jenkins, Kenneth D.T.-R. McLaughlin We study the Cauchy problem for the focusing nonlinear Schrödinger (fNLS) equation. Using the ∂‾ generalization of the nonlinear steepest descent method we compute the long-time asymptotic expansion of the solution ψ(x,t) in any fixed space-time cone C(x1,x2,v1,v2)={(x,t)∈R2:x=x0+vt with x0∈[x1,x2],v∈[v1,v2]} up to an (optimal) residual error of order O(t−3/4). In each cone C the leading order term in this expansion is a multi-soliton whose parameters are modulated by soliton–soliton and soliton–radiation interactions as one moves through the cone. Our results require that the initial data possess one L2(R) moment and (weak) derivative and that it not generate any spectral singularities.
       
  • Martingale–coboundary decomposition for families of dynamical
           systems
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): A. Korepanov, Z. Kosloff, I. Melbourne We prove statistical limit laws for sequences of Birkhoff sums of the type ∑j=0n−1vn∘Tnj where Tn is a family of nonuniformly hyperbolic transformations.The key ingredient is a new martingale–coboundary decomposition for nonuniformly hyperbolic transformations which is useful already in the case when the family Tn is replaced by a fixed transformation T, and which is particularly effective in the case when Tn varies with n.In addition to uniformly expanding/hyperbolic dynamical systems, our results include cases where the family Tn consists of intermittent maps, unimodal maps (along the Collet–Eckmann parameters), Viana maps, and externally forced dispersing billiards.As an application, we prove a homogenisation result for discrete fast–slow systems where the fast dynamics is generated by a family of nonuniformly hyperbolic transformations.
       
  • Spatially discrete reaction–diffusion equations with discontinuous
           hysteresis
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Pavel Gurevich, Sergey Tikhomirov We address the question: Why may reaction–diffusion equations with hysteretic nonlinearities become ill-posed and how to amend this' To do so, we discretize the spatial variable and obtain a lattice dynamical system with a hysteretic nonlinearity. We analyze a new mechanism that leads to appearance of a spatio-temporal pattern called rattling: the solution exhibits a propagation phenomenon different from the classical traveling wave, while the hysteretic nonlinearity, loosely speaking, takes a different value at every second spatial point, independently of the grid size. Such a dynamics indicates how one should redefine hysteresis to make the continuous problem well-posed and how the solution will then behave. In the present paper, we develop main tools for the analysis of the spatially discrete model and apply them to a prototype case. In particular, we prove that the propagation velocity is of order at−1/2 as t→∞ and explicitly find the rate a.
       
  • The Cahn–Hilliard–Hele–Shaw system with singular
           potential
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Andrea Giorgini, Maurizio Grasselli, Hao Wu The Cahn–Hilliard–Hele–Shaw system is a fundamental diffuse-interface model for an incompressible binary fluid confined in a Hele–Shaw cell. It consists of a convective Cahn–Hilliard equation in which the velocity u is subject to a Korteweg force through Darcy's equation. In this paper, we aim to investigate the system with a physically relevant potential (i.e., of logarithmic type). This choice ensures that the (relative) concentration difference φ takes values within the admissible range. To the best of our knowledge, essentially all the available contributions in the literature are concerned with a regular approximation of the singular potential. Here we first prove the existence of a global weak solution with finite energy that satisfies an energy dissipative property. Then, in dimension two, we further obtain the uniqueness and regularity of global weak solutions. In particular, we show that any two-dimensional weak solution satisfies the so-called strict separation property, namely, if φ is not a pure state at some initial time, then it stays instantaneously away from the pure states. When the spatial dimension is three, we prove the existence of a unique global strong solution, provided that the initial datum is regular enough and sufficiently close to any local minimizer of the free energy. This also yields the local Lyapunov stability of the local minimizer itself. Finally, we prove that under suitable assumptions any global solution converges to a single equilibrium as time goes to infinity.
       
  • L l o c 2 ( R 3 ) &rft.title=Annales+de+l'Institut+Henri+Poincare+(C)+Non+Linear+Analysis&rft.issn=0294-1449&rft.date=&rft.volume=">Existence of discretely self-similar solutions to the Navier–Stokes
           equations for initial value in L l o c 2 ( R 3 )
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Dongho Chae, Jörg Wolf We prove the existence of a forward discretely self-similar solutions to the Navier–Stokes equations in R3×(0,+∞) for a discretely self-similar initial velocity belonging to Lloc2(R3).
       
  • Dini estimates for nonlocal fully nonlinear elliptic equations
    • Abstract: Publication date: July 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire, Volume 35, Issue 4Author(s): Hongjie Dong, Hong Zhang We obtain Dini type estimates for a class of concave fully nonlinear nonlocal elliptic equations of order σ∈(0,2) with rough and non-symmetric kernels. The proof is based on a novel application of Campanato's approach and a refined Cσ+α estimate in [9].
       
  • Uniform boundedness principles for Sobolev maps into manifolds
    • Abstract: Publication date: Available online 20 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Antonin Monteil, Jean Van Schaftingen Given a connected Riemannian manifold N, an m-dimensional Riemannian manifold M which is either compact or the Euclidean space, p∈[1,+∞) and s∈(0,1], we establish, for the problems of surjectivity of the trace, of weak-bounded approximation, of lifting and of superposition, that qualitative properties satisfied by every map in a nonlinear Sobolev space Ws,p(M,N) imply corresponding uniform quantitative bounds. This result is a nonlinear counterpart of the classical Banach–Steinhaus uniform boundedness principle in linear Banach spaces.
       
  • Energy identity for a class of approximate Dirac-harmonic maps from
           surfaces with boundary
    • Abstract: Publication date: Available online 19 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Jürgen Jost, Lei Liu, Miaomiao Zhu For a sequence of coupled fields {(ϕn,ψn)} from a compact Riemann surface M with smooth boundary to a general compact Riemannian manifold with uniformly bounded energy and satisfying the Dirac-harmonic system up to some uniformly controlled error terms, we show that the energy identity holds during a blow-up process near the boundary. As an application to the heat flow of Dirac-harmonic maps from surfaces with boundary, when such a flow blows up at infinite time, we obtain an energy identity.
       
  • Extremizers for Fourier restriction on hyperboloids
    • Abstract: Publication date: Available online 19 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Emanuel Carneiro, Diogo Oliveira e Silva, Mateus Sousa The L2→Lp adjoint Fourier restriction inequality on the d-dimensional hyperboloid Hd⊂Rd+1 holds provided 6≤p
       
  • Stable ground states for the HMF Poisson model
    • Abstract: Publication date: Available online 15 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Marine Fontaine, Mohammed Lemou, Florian Méhats In this paper we prove the nonlinear orbital stability of a large class of steady state solutions to the Hamiltonian Mean Field (HMF) system with a Poisson interaction potential. These steady states are obtained as minimizers of an energy functional under one, two or infinitely many constraints. The singularity of the Poisson potential prevents from a direct run of the general strategy in [16], [19] which was based on generalized rearrangement techniques, and which has been recently extended to the case of the usual (smooth) cosine potential [17]. Our strategy is rather based on variational techniques. However, due to the boundedness of the space domain, our variational problems do not enjoy the usual scaling invariances which are, in general, very important in the analysis of variational problems. To replace these scaling arguments, we introduce new transformations which, although specific to our context, remain somehow in the same spirit of rearrangements tools introduced in the references above. In particular, these transformations allow for the incorporation of an arbitrary number of constraints, and yield a stability result for a large class of steady states.
       
  • Time-optimal trajectories of generic control-affine systems have at worst
           iterated Fuller singularities
    • Abstract: Publication date: Available online 7 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Francesco Boarotto, Mario Sigalotti We consider in this paper the regularity problem for time-optimal trajectories of a single-input control-affine system on a n-dimensional manifold. We prove that, under generic conditions on the drift and the controlled vector field, any control u associated with an optimal trajectory is smooth out of a countable set of times. More precisely, there exists an integer K, only depending on the dimension n, such that the non-smoothness set of u is made of isolated points, accumulations of isolated points, and so on up to K-th order iterated accumulations.
       
  • Nonlinear responses from the interaction of two progressing waves at an
           interface
    • Abstract: Publication date: Available online 6 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Maarten de Hoop, Gunther Uhlmann, Yiran Wang For scalar semilinear wave equations, we analyze the interaction of two (distorted) plane waves at an interface between media of different nonlinear properties. We show that new waves are generated from the nonlinear interactions, which might be responsible for the observed nonlinear effects in applications. Also, we show that the incident waves and the nonlinear responses determine the location of the interface and some information of the nonlinear properties of the media. In particular, for the case of a jump discontinuity at the interface, we can determine the magnitude of the jump.
       
  • Well-posedness of the two-dimensional nonlinear Schrödinger equation with
           concentrated nonlinearity
    • Abstract: Publication date: Available online 6 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Raffaele Carlone, Michele Correggi, Lorenzo Tentarelli We consider a two-dimensional nonlinear Schrödinger equation with concentrated nonlinearity. In both the focusing and defocusing case we prove local well-posedness, i.e., existence and uniqueness of the solution for short times, as well as energy and mass conservation. In addition, we prove that this implies global existence in the defocusing case, irrespective of the power of the nonlinearity, while in the focusing case blowing-up solutions may arise.
       
  • Downscaling data assimilation algorithm with applications to statistical
           solutions of the Navier–Stokes equations
    • Abstract: Publication date: Available online 6 June 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Animikh Biswas, Ciprian Foias, Cecilia F. Mondaini, Edriss S. Titi Based on a previously introduced downscaling data assimilation algorithm, which employs a nudging term to synchronize the coarse mesh spatial scales, we construct a determining map for recovering the full trajectories from their corresponding coarse mesh spatial trajectories, and investigate its properties. This map is then used to develop a downscaling data assimilation scheme for statistical solutions of the two-dimensional Navier–Stokes equations, where the coarse mesh spatial statistics of the system is obtained from discrete spatial measurements. As a corollary, we deduce that statistical solutions for the Navier–Stokes equations are determined by their coarse mesh spatial distributions. Notably, we present our results in the context of the Navier–Stokes equations; however, the tools are general enough to be implemented for other dissipative evolution equations.
       
  • Construction and stability of blowup solutions for a non-variational
           semilinear parabolic system
    • Abstract: Publication date: Available online 31 May 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Tej-Eddine Ghoul, Van Tien Nguyen, Hatem Zaag We consider the following parabolic system whose nonlinearity has no gradient structure:{∂tu=Δu+ v p−1v,∂tv=μΔv+ u q−1u,u(⋅,0)=u0,v(⋅,0)=v0, in the whole space RN, where p,q>1 and μ>0. We show the existence of initial data such that the corresponding solution to this system blows up in finite time T(u0,v0) simultaneously in u and v only at one blowup point a, according to the following asymptotic dynamics:{u(x,t)∼Γ[(T−t)(1+b x−a 2(T−t) log⁡(T−t) )]−(p+1)pq−1,v(x,t)∼γ[(T−t)(1+b x−a 2(T−t) log⁡(T−t) )]−(q+1)pq−1, with b=b(p,q,μ)>0 and
       
  • Hyperbolic ends with particles and grafting on singular surfaces
    • Abstract: Publication date: Available online 18 May 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Qiyu Chen, Jean-Marc Schlenker We prove that any 3-dimensional hyperbolic end with particles (cone singularities along infinite curves of angles less than π) admits a unique foliation by constant Gauss curvature surfaces. Using a form of duality between hyperbolic ends with particles and convex globally hyperbolic maximal (GHM) de Sitter spacetime with particles, it follows that any 3-dimensional convex GHM de Sitter spacetime with particles also admits a unique foliation by constant Gauss curvature surfaces. We prove that the grafting map from the product of Teichmüller space with the space of measured laminations to the space of complex projective structures is a homeomorphism for surfaces with cone singularities of angles less than π, as well as an analogue when grafting is replaced by “smooth grafting”.
       
  • The nonlinear Schrödinger equation with a potential
    • Abstract: Publication date: Available online 7 May 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Pierre Germain, Fabio Pusateri, Frédéric Rousset We consider the cubic nonlinear Schrödinger equation with a potential in one space dimension. Under the assumptions that the potential is generic, sufficiently localized, with no bound states, we obtain the long-time asymptotic behavior of small solutions. In particular, we prove that, as time goes to infinity, solutions exhibit nonlinear phase corrections that depend on the scattering matrix associated to the potential. The proof of our result is based on the use of the distorted Fourier transform – the so-called Weyl–Kodaira–Titchmarsh theory – a precise understanding of the “nonlinear spectral measure” associated to the equation, and nonlinear stationary phase arguments and multilinear estimates in this distorted setting.
       
  • Interior regularity for fractional systems
    • Abstract: Publication date: Available online 25 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Luis Caffarelli, Gonzalo Dávila We study the regularity of solutions of elliptic fractional systems of order 2s, s∈(0,1), where the right hand side f depends on a nonlocal gradient and has the same scaling properties as the nonlocal operator. Under some structural conditions on the system we prove interior Hölder estimates in the spirit of [1]. Our results are stable in s allowing us to recover the classic results for elliptic systems due to S. Hildebrandt and K. Widman [11] and M. Wiegner [19].
       
  • Local well-posedness for quasi-linear NLS with large Cauchy data on the
           circle
    • Abstract: Publication date: Available online 19 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): R. Feola, F. Iandoli We prove local in time well-posedness for a large class of quasilinear Hamiltonian, or parity preserving, Schrödinger equations on the circle. After a paralinearization of the equation, we perform several paradifferential changes of coordinates in order to transform the system into a paradifferential one with symbols which, at the positive order, are constant and purely imaginary. This allows to obtain a priori energy estimates on the Sobolev norms of the solutions.
       
  • On bifurcation of eigenvalues along convex symplectic paths
    • Abstract: Publication date: Available online 13 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Yinshan Chang, Yiming Long, Jian Wang We consider a continuously differentiable curve t↦γ(t) in the space of 2n×2n real symplectic matrices, which is the solution of the following ODE:dγdt(t)=J2nA(t)γ(t),γ(0)∈Sp(2n,R), where J=J2n=def[0Idn−Idn0] and A:t↦A(t) is a continuous path in the space of 2n×2n real matrices which are symmetric. Under a certain convexity assumption (which includes the particular case that A(t) is strictly positive definite for all t∈R), we investigate the dynamics of the eigenvalues of γ(t) when t varies, which are closely related to the stability of such Hamiltonian dynamical systems. We rigorously prove the qualitative behavior of the branching of eigenvalues and explicitly give the first order asymptotics of the eigenvalues. This generalizes classical Krein-Lyubarskii theorem on the analytic bifurcation of the Floquet multipliers under a linear perturbation of the Hamiltonian. As a corollary, we give a rigorous proof of the following statement of Ekeland: {t∈R:γ(t) has a Krein indefinite eigenvalue of modulus 1} is a discrete set.
       
  • Energy identity and necklessness for a sequence of Sacks–Uhlenbeck
           maps to a sphere
    • Abstract: Publication date: Available online 12 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Jiayu Li, Xiangrong Zhu Let u be a map from a Riemann surface M to a Riemannian manifold N and α>1, the α energy functional is defined asEα(u)=12∫M[(1+ ▽u 2)α−1]dV.We call uα a sequence of Sacks–Uhlenbeck maps if uα are critical points of Eα andsupα>1⁡Eα(uα)
       
  • Regularity theory for the Isaacs equation through approximation methods
    • Abstract: Publication date: Available online 9 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Edgard A. Pimentel In this paper, we propose an approximation method to study the regularity of solutions to the Isaacs equation. This class of problems plays a paramount role in the regularity theory for fully nonlinear elliptic equations. First, it is a model-problem of a non-convex operator. In addition, the usual mechanisms to access regularity of solutions fall short in addressing these equations. We approximate an Isaacs equation by a Bellman one, and make assumptions on the latter to recover information for the former. Our techniques produce results in Sobolev and Hölder spaces; we also examine a few consequences of our main findings.
       
  • Asymptotic stability of a composite wave of two viscous shock waves for
           the one-dimensional radiative Euler equations
    • Abstract: Publication date: Available online 9 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Lili Fan, Lizhi Ruan, Wei Xiang This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties.
       
  • Minnaert resonances for acoustic waves in bubbly media
    • Abstract: Publication date: Available online 9 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Habib Ammari, Brian Fitzpatrick, David Gontier, Hyundae Lee, Hai Zhang Through the application of layer potential techniques and Gohberg–Sigal theory we derive an original formula for the Minnaert resonance frequencies of arbitrarily shaped bubbles. We also provide a mathematical justification for the monopole approximation of scattering of acoustic waves by bubbles at their Minnaert resonant frequency. Our results are complemented by several numerical examples which serve to validate our formula in two dimensions.
       
  • The derivative nonlinear Schrödinger equation on the half line
    • Abstract: Publication date: Available online 9 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): M.B. Erdoğan, T.B. Gürel, N. Tzirakis We study the initial-boundary value problem for the derivative nonlinear Schrödinger (DNLS) equation. More precisely we study the wellposedness theory and the regularity properties of the DNLS equation on the half line. We prove almost sharp local wellposedness, nonlinear smoothing, and small data global wellposedness in the energy space. One of the obstructions is that the crucial gauge transformation we use replaces the boundary condition with a nonlocal one. We resolve this issue by running an additional fixed point argument. Our method also implies almost sharp local and small energy global wellposedness, and an improved smoothing estimate for the quintic Schrödinger equation on the half line. In the last part of the paper we consider the DNLS equation on R and prove smoothing estimates by combining the restricted norm method with a normal form transformation.
       
  • Physical measures for the geodesic flow tangent to a transversally
           conformal foliation
    • Abstract: Publication date: Available online 9 April 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Sébastien Alvarez, Jiagang Yang We consider a transversally conformal foliation F of a closed manifold M endowed with a smooth Riemannian metric whose restriction to each leaf is negatively curved. We prove that it satisfies the following dichotomy. Either there is a transverse holonomy-invariant measure for F, or the foliated geodesic flow admits a finite number of physical measures, which have negative transverse Lyapunov exponents and whose basin covers a set full for the Lebesgue measure. We also give necessary and sufficient conditions for the foliated geodesic flow to be partially hyperbolic in the case where the foliation is transverse to a projective circle bundle over a closed hyperbolic surface.
       
  • The Sine-Gordon regime of the Landau–Lifshitz equation with a strong
           easy-plane anisotropy
    • Abstract: Publication date: Available online 17 March 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): André de Laire, Philippe Gravejat It is well-known that the dynamics of biaxial ferromagnets with a strong easy-plane anisotropy is essentially governed by the Sine-Gordon equation. In this paper, we provide a rigorous justification to this observation. More precisely, we show the convergence of the solutions to the Landau–Lifshitz equation for biaxial ferromagnets towards the solutions to the Sine-Gordon equation in the regime of a strong easy-plane anisotropy. Moreover, we establish the sharpness of our convergence result.This result holds for solutions to the Landau–Lifshitz equation in high order Sobolev spaces. We first provide an alternative proof for local well-posedness in this setting by introducing high order energy quantities with better symmetrization properties. We then derive the convergence from the consistency of the Landau–Lifshitz equation with the Sine-Gordon equation by using well-tailored energy estimates. As a by-product, we also obtain a further derivation of the free wave regime of the Landau–Lifshitz equation.
       
  • Robust local Hölder rigidity of circle maps with breaks
    • Abstract: Publication date: Available online 7 March 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Konstantin Khanin, Saša Kocić We prove that, for every ε∈(0,1), every two C2+α-smooth (α>0) circle diffeomorphisms with a break point, i.e. circle diffeomorphisms with a single singular point where the derivative has a jump discontinuity, with the same irrational rotation number ρ∈(0,1) and the same size of the break c∈R+\{1}, are conjugate to each other via a conjugacy which is (1−ε)-Hölder continuous at the break points. An analogous result does not hold for circle diffeomorphisms even when they are analytic.
       
  • Estimating the division rate and kernel in the fragmentation equation
    • Abstract: Publication date: Available online 7 March 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Marie Doumic, Miguel Escobedo, Magali Tournus We consider the fragmentation equation∂f∂t(t,x)=−B(x)f(t,x)+∫y=xy=∞k(y,x)B(y)f(t,y)dy, and address the question of estimating the fragmentation parameters - i.e. the division rate B(x) and the fragmentation kernel k(y,x) - from measurements of the size distribution f(t,⋅) at various times. This is a natural question for any application where the sizes of the particles are measured experimentally whereas the fragmentation rates are unknown, see for instance (Xue, Radford, Biophys. Journal, 2013) for amyloid fibril breakage. Under the assumption of a polynomial division rate B(x)=αxγ and a self-similar fragmentation kernel k(y,x)=1yk0(xy), we use the asymptotic behaviour proved in (Escobedo, Mischler, Rodriguez-Ricard, Ann. IHP, 2004) to obtain uniqueness of the triplet (α,γ,k0) and a representation formula for k0. To invert this formula, one of the delicate points is to prove that the Mellin transform of the asymptotic profile never vanishes, what we do through the use of the Cauchy integral.
       
  • Results of Ambrosetti–Prodi type for non-selfadjoint elliptic
           operators
    • Abstract: Publication date: Available online 7 March 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Boyan Sirakov, Carlos Tomei, André Zaccur The well-known Ambrosetti–Prodi theorem considers perturbations of the Dirichlet Laplacian by a nonlinear function whose derivative jumps over the principal eigenvalue of the operator. Various extensions of this landmark result were obtained for self-adjoint operators, in particular by Berger and Podolak, who gave a geometrical description of the solution set. In this text we show that similar theorems are valid for non-self-adjoint operators. In particular, we prove that the semilinear operator is a global fold. As a consequence, we obtain what appears to be the first exact multiplicity result for elliptic equations in non-divergence form. We employ techniques based on the maximum principle.
       
  • Global well-posedness of partially periodic KP-I equation in the energy
           space and application
    • Abstract: Publication date: Available online 7 March 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Tristan Robert In this article, we address the Cauchy problem for the KP-I equation∂tu+∂x3u−∂x−1∂y2u+u∂xu=0 for functions periodic in y. We prove global well-posedness of this problem for any data in the energy space E={u∈L2(R×T),∂xu∈L2(R×T),∂x−1∂yu∈L2(R×T)}. We then prove that the KdV line soliton, seen as a special solution of KP-I equation, is orbitally stable under this flow, as long as its speed is small enough.
       
  • On well-posedness for some dispersive perturbations of Burgers' equation
    • Abstract: Publication date: Available online 21 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Luc Molinet, Didier Pilod, Stéphane Vento We show that the Cauchy problem for a class of dispersive perturbations of Burgers' equations containing the low dispersion Benjamin–Ono equation∂tu−Dxα∂xu=∂x(u2),0sα:=32−5α4. As a consequence, we obtain global well-posedness in the energy space Hα2(R) as soon as α2>sα, i.e. α>67.
       
  • Isolated singularities of the prescribed mean curvature equation in
           Minkowski 3-space
    • Abstract: Publication date: Available online 15 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): José A. Gálvez, Asun Jiménez, Pablo Mira We give a classification of non-removable isolated singularities for real analytic solutions of the prescribed mean curvature equation in Minkowski 3-space.
       
  • On the Majorana condition for nonlinear Dirac systems
    • Abstract: Publication date: Available online 9 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Timothy Candy, Sebastian Herr For arbitrarily large initial data in an open set defined by an approximate Majorana condition, global existence and scattering results for solutions to the Dirac equation with Soler-type nonlinearity and the Dirac–Klein–Gordon system in critical spaces in spatial dimension three are established.
       
  • Quantization of probability distributions and gradient flows in space
           dimension 2
    • Abstract: Publication date: Available online 2 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Emanuele Caglioti, François Golse, Mikaela Iacobelli In this paper we study a perturbative approach to the problem of quantization of probability distributions in the plane. Motivated by the fact that, as the number of points tends to infinity, hexagonal lattices are asymptotically optimal from an energetic point of view [10], [12], [15], we consider configurations that are small perturbations of the hexagonal lattice and we show that: (1) in the limit as the number of points tends to infinity, the hexagonal lattice is a strict minimizer of the energy; (2) the gradient flow of the limiting functional allows us to evolve any perturbed configuration to the optimal one exponentially fast. In particular, our analysis provides a new mathematical justification of the asymptotic optimality of the hexagonal lattice among its nearby configurations.
       
  • Lyapunov exponents of partially hyperbolic volume-preserving maps with
           2-dimensional center bundle
    • Abstract: Publication date: Available online 1 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Chao Liang, Karina Marin, Jiagang Yang We consider the set of partially hyperbolic symplectic diffeomorphisms which are accessible, have 2-dimensional center bundle and satisfy some pinching and bunching conditions. In this set, we prove that the non-uniformly hyperbolic maps are Cr open and there exists a Cr open and dense subset of continuity points for the center Lyapunov exponents. We also generalize these results to volume-preserving systems.
       
  • Global solvability of massless Dirac–Maxwell systems
    • Abstract: Publication date: Available online 1 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Nicolas Ginoux, Olaf Müller We consider the Cauchy problem for massless Dirac–Maxwell equations on an asymptotically flat background and give a global existence and uniqueness theorem for initial values small in an appropriate weighted Sobolev space. The result can be extended via analogous methods to Dirac–Higgs–Yang–Mills theories.
       
  • Sobolev regularity for first order mean field games
    • Abstract: Publication date: Available online 1 February 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): P. Jameson Graber, Alpár R. Mészáros In this paper we obtain Sobolev estimates for weak solutions of first order variational Mean Field Game systems with coupling terms that are local functions of the density variable. Under some coercivity conditions on the coupling, we obtain first order Sobolev estimates for the density variable, while under similar coercivity conditions on the Hamiltonian we obtain second order Sobolev estimates for the value function. These results are valid both for stationary and time-dependent problems. In the latter case the estimates are fully global in time, thus we resolve a question which was left open in [23]. Our methods apply to a large class of Hamiltonians and coupling functions.
       
  • Stationary solutions to the compressible Navier–Stokes system with
           general boundary conditions
    • Abstract: Publication date: Available online 31 January 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Eduard Feireisl, Antonín Novotný We consider the stationary compressible Navier–Stokes system supplemented with general inhomogeneous boundary conditions. Assuming the pressure to be given by the standard hard sphere EOS we show existence of weak solutions for arbitrarily large boundary data.
       
  • Regularity for nonlinear stochastic games
    • Abstract: Publication date: Available online 4 January 2018Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaireAuthor(s): Hannes Luiro, Mikko Parviainen We establish regularity for functions satisfying a dynamic programming equation, which may arise for example from stochastic games or discretization schemes. Our results can also be utilized in obtaining regularity and existence results for the corresponding partial differential equations.
       
 
 
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