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  Subjects -> BUSINESS AND ECONOMICS (Total: 3126 journals)
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BUSINESS AND ECONOMICS (1157 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 1566 Journals sorted alphabetically
4OR: A Quarterly Journal of Operations Research     Hybrid Journal   (Followers: 9)
Abacus     Hybrid Journal   (Followers: 12)
Accounting Forum     Hybrid Journal   (Followers: 25)
Acta Amazonica     Open Access   (Followers: 4)
Acta Commercii     Open Access   (Followers: 3)
Acta Oeconomica     Full-text available via subscription   (Followers: 2)
Acta Scientiarum. Human and Social Sciences     Open Access   (Followers: 5)
Acta Universitatis Danubius. Œconomica     Open Access   (Followers: 2)
Acta Universitatis Nicolai Copernici Zarządzanie     Open Access   (Followers: 3)
AD-minister     Open Access   (Followers: 2)
ADR Bulletin     Open Access   (Followers: 5)
Advances in Developing Human Resources     Hybrid Journal   (Followers: 21)
Advances in Economics and Business     Open Access   (Followers: 11)
AfricaGrowth Agenda     Full-text available via subscription   (Followers: 1)
African Affairs     Hybrid Journal   (Followers: 59)
African Development Review     Hybrid Journal   (Followers: 34)
African Journal of Business and Economic Research     Full-text available via subscription   (Followers: 1)
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: 11)
Akademika : Journal of Southeast Asia Social Sciences and Humanities     Open Access   (Followers: 4)
Alphanumeric Journal : The Journal of Operations Research, Statistics, Econometrics and Management Information Systems     Open Access   (Followers: 4)
American Economic Journal : Applied Economics     Full-text available via subscription   (Followers: 150)
American Journal of Business     Hybrid Journal   (Followers: 15)
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American Journal of Health Economics     Full-text available via subscription   (Followers: 12)
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ANALES de la Universidad Central del Ecuador     Open Access   (Followers: 2)
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: 30)
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Arab Economic and Business Journal     Open Access   (Followers: 3)
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Argomenti. Rivista di economia, cultura e ricerca sociale     Open Access   (Followers: 2)
ASEAN Economic Bulletin     Full-text available via subscription   (Followers: 5)
Asia Pacific Business Review     Hybrid Journal   (Followers: 5)
Asia Pacific Journal of Human Resources     Hybrid Journal   (Followers: 313)
Asia Pacific Viewpoint     Hybrid Journal   (Followers: 1)
Asia-Pacific Journal of Business Administration     Hybrid Journal   (Followers: 3)
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Asian Business Review     Open Access   (Followers: 2)
Asian Case Research Journal     Hybrid Journal   (Followers: 1)
Asian Development Review     Open Access   (Followers: 14)
Asian Economic Journal     Hybrid Journal   (Followers: 8)
Asian Economic Papers     Hybrid Journal   (Followers: 7)
Asian Economic Policy Review     Hybrid Journal   (Followers: 4)
Asian Journal of Accounting and Governance     Open Access   (Followers: 4)
Asian Journal of Business Ethics     Hybrid Journal   (Followers: 7)
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)
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Australasian Journal of Regional Studies, The     Full-text available via subscription   (Followers: 2)
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Australian Economic Papers     Hybrid Journal   (Followers: 29)
Australian Economic Review     Hybrid Journal   (Followers: 6)
Australian Journal of Maritime and Ocean Affairs     Hybrid Journal   (Followers: 10)
Balkan Region Conference on Engineering and Business Education     Open Access   (Followers: 1)
Baltic Journal of Real Estate Economics and Construction Management     Open Access   (Followers: 1)
Banks in Insurance Report     Hybrid Journal   (Followers: 1)
BBR - Brazilian Business Review     Open Access   (Followers: 4)
Benchmarking : An International Journal     Hybrid Journal   (Followers: 11)
Benefit : Jurnal Manajemen dan Bisnis     Open Access  
BER : Consumer Confidence Survey     Full-text available via subscription   (Followers: 4)
BER : Economic Prospects : An Executive Summary     Full-text available via subscription  
BER : Economic Prospects : Full Survey     Full-text available via subscription   (Followers: 2)
BER : Intermediate Goods Industries Survey     Full-text available via subscription   (Followers: 1)
BER : Manufacturing Survey : Full Survey     Full-text available via subscription   (Followers: 2)
BER : Motor Trade Survey     Full-text available via subscription   (Followers: 1)
BER : Retail Sector Survey     Full-text available via subscription   (Followers: 2)
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BER : Survey of Business Conditions in Building and Construction : An Executive Summary     Full-text available via subscription   (Followers: 4)
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: 2)
BER : Wholesale Sector Survey     Full-text available via subscription   (Followers: 1)
Berkeley Business Law Journal     Free   (Followers: 10)
Bio-based and Applied Economics     Open Access   (Followers: 1)
Biodegradation     Hybrid Journal   (Followers: 1)
Biology Direct     Open Access   (Followers: 7)
Black Enterprise     Full-text available via subscription  
Board & Administrator for Administrators only     Hybrid Journal  
Border Crossing : Transnational Working Papers     Open Access   (Followers: 2)
Briefings in Real Estate Finance     Hybrid Journal   (Followers: 5)
British Journal of Industrial Relations     Hybrid Journal   (Followers: 35)
Brookings Papers on Economic Activity     Open Access   (Followers: 48)
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: 7)
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: 18)
Business & Information Systems Engineering     Hybrid Journal   (Followers: 5)
Business & Society     Hybrid Journal   (Followers: 9)
Business : Theory and Practice / Verslas : Teorija ir Praktika     Open Access   (Followers: 1)
Business and Economic Research     Open Access   (Followers: 6)
Business and Management Horizons     Open Access   (Followers: 12)
Business and Management Research     Open Access   (Followers: 17)
Business and Management Studies     Open Access   (Followers: 9)
Business and Politics     Hybrid Journal   (Followers: 6)
Business and Professional Communication Quarterly     Hybrid Journal   (Followers: 7)
Business and Society Review     Hybrid Journal   (Followers: 5)
Business Economics     Hybrid Journal   (Followers: 6)
Business Ethics: A European Review     Hybrid Journal   (Followers: 16)
Business Horizons     Hybrid Journal   (Followers: 9)
Business Information Review     Hybrid Journal   (Followers: 14)
Business Management and Strategy     Open Access   (Followers: 43)
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: 18)
Business, Peace and Sustainable Development     Full-text available via subscription   (Followers: 3)
Bustan     Hybrid Journal   (Followers: 1)
Cadernos EBAPE.BR     Open Access   (Followers: 1)
Cambridge Journal of Economics     Hybrid Journal   (Followers: 58)
Cambridge Journal of Regions, Economy and Society     Hybrid Journal   (Followers: 11)
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: 28)
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: 12)
Case Studies in Business and Management     Open Access   (Followers: 9)
CBU International Conference Proceedings     Open Access   (Followers: 1)
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: 16)
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: 16)
China Economic Journal: The Official Journal of the China Center for Economic Research (CCER) at Peking University     Hybrid Journal   (Followers: 10)
China Economic Review     Hybrid Journal   (Followers: 9)
China Finance Review International     Hybrid Journal   (Followers: 5)
China Nonprofit Review     Hybrid Journal   (Followers: 3)
China perspectives     Open Access   (Followers: 11)
Chinese Economy     Full-text available via subscription  
Ciência & Saúde Coletiva     Open Access   (Followers: 2)
CLIO América     Open Access   (Followers: 1)
Cliometrica     Hybrid Journal   (Followers: 3)
COEPTUM     Open Access  
Community Development Journal     Hybrid Journal   (Followers: 24)
Compensation & Benefits Review     Hybrid Journal   (Followers: 7)
Competition & Change     Hybrid Journal   (Followers: 10)
Competitive Intelligence Review     Hybrid Journal   (Followers: 2)
Competitiveness Review : An International Business Journal incorporating Journal of Global Competitiveness     Hybrid Journal   (Followers: 6)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computer Law & Security Review     Hybrid Journal   (Followers: 16)
Computers & Operations Research     Hybrid Journal   (Followers: 10)
Construction Innovation: Information, Process, Management     Hybrid Journal   (Followers: 14)
Contemporary Wales     Full-text available via subscription   (Followers: 3)
Contextus - Revista Contemporânea de Economia e Gestão     Open Access   (Followers: 1)
Contributions to Political Economy     Hybrid Journal   (Followers: 5)
Corporate Communications An International Journal     Hybrid Journal   (Followers: 6)
Corporate Philanthropy Report     Hybrid Journal   (Followers: 2)
Corporate Reputation Review     Hybrid Journal   (Followers: 4)
Creative and Knowledge Society     Open Access   (Followers: 10)
Creative Industries Journal     Hybrid Journal   (Followers: 9)
CRIS - Bulletin of the Centre for Research and Interdisciplinary Study     Open Access   (Followers: 1)
Crossing the Border : International Journal of Interdisciplinary Studies     Open Access   (Followers: 4)
Cuadernos de Administración (Universidad del Valle)     Open Access   (Followers: 2)
Cuadernos de Economía     Open Access   (Followers: 2)
Cuadernos de Economia - Latin American Journal of Economics     Open Access   (Followers: 2)
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Current Opinion in Creativity, Innovation and Entrepreneurship     Open Access   (Followers: 9)
De Economist     Hybrid Journal   (Followers: 12)
Decision Analysis     Full-text available via subscription   (Followers: 8)
Decision Sciences     Hybrid Journal   (Followers: 16)
Decision Support Systems     Hybrid Journal   (Followers: 16)
Defence and Peace Economics     Hybrid Journal   (Followers: 17)
der markt     Hybrid Journal   (Followers: 1)
Desenvolvimento em Questão     Open Access  

        1 2 3 4 5 6 | Last

Journal Cover Annales de l'Institut Henri Poincare (C) Non Linear Analysis
  [SJR: 2.558]   [H-I: 46]   [1 followers]  Follow
    
   Full-text available via subscription Subscription journal
   ISSN (Print) 0294-1449
   Published by Elsevier Homepage  [3043 journals]
  • Two-dimensional impinging jets in hydrodynamic rotational flows
    • Authors: Jianfeng Cheng; Lili Du; Yongfu Wang
      Pages: 1355 - 1386
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Jianfeng Cheng, Lili Du, Yongfu Wang
      The free streamline theory in hydrodynamics is an important and difficult issue not only in fluid mechanics but also in mathematics. The major purpose in this paper is to establish the well-posedness of the impinging jets in steady incompressible, rotational, plane flows. More precisely, given a mass flux and a vorticity of the incoming flows in the inlet of the nozzle, there exists a unique smooth impinging plane jet. Moreover, there exists a smooth free streamline, which goes to infinity and initiates at the endpoint of the nozzle smoothly. In addition, asymptotic behavior in upstream and downstream, uniform direction and other properties of the impinging jet are also obtained. The main ingredients of the mathematic analysis in this paper are based on the modified variational method developed by H. W. Alt, L. A. Caffarelli and A. Friedman in the elegant works [1,17], which has been shown to be powerful to deal with the steady irrotational flows with free streamlines.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.007
       
  • Continuity and density results for a one-phase nonlocal free boundary
           problem
    • Authors: Serena Dipierro; Enrico Valdinoci
      Pages: 1387 - 1428
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Serena Dipierro, Enrico Valdinoci
      We consider a one-phase nonlocal free boundary problem obtained by the superposition of a fractional Dirichlet energy plus a nonlocal perimeter functional. We prove that the minimizers are Hölder continuous and the free boundary has positive density from both sides. For this, we also introduce a new notion of fractional harmonic replacement in the extended variables and we study its basic properties.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.11.001
       
  • log–log blow up solutions blow up at exactly m points
    • Authors: Chenjie Fan
      Pages: 1429 - 1482
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Chenjie Fan
      We study the focusing mass-critical nonlinear Schrödinger equation, and construct certain solutions which blow up at exactly m points according to the log–log law.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.11.002
       
  • Singular solutions for divergence-form elliptic equations involving
           regular variation theory: Existence and classification
    • Authors: Ting-Ying Chang; Florica C. Cîrstea
      Pages: 1483 - 1506
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Ting-Ying Chang, Florica C. Cîrstea
      We generalise and sharpen several recent results in the literature regarding the existence and complete classification of the isolated singularities for a broad class of nonlinear elliptic equations of the form (0.1) − div ( A ( x ) ∇ u p − 2 ∇ u ) + b ( x ) h ( u ) = 0 in  B 1 ∖ { 0 } , where B r denotes the open ball with radius r > 0 centred at 0 in R N ( N ≥ 2 ) . We assume that A ∈ C 1 ( 0 , 1 ] , b ∈ C ( B 1 ‾ ∖ { 0 } ) and h ∈ C [ 0 , ∞ ) are positive functions associated with regularly varying functions of index ϑ, σ and q at 0, 0 and ∞ respectively, satisfying q > p − 1 > 0 and ϑ − σ < p < N + ϑ . We prove that the condition b ( x ) h ( Φ ) ∉ L 1 ( B 1 / 2 ) is sharp for the removability of all singularities at 0 for the positive solutions of (0.1), where Φ denotes the “fundamental solution” of − div ( A ( x ) ∇ u p − 2 ∇ u ) = δ 0 (the Dirac mass at 0) in B 1 , subject to Φ ∂ B 1 = 0 . If b ( x ) h ( Φ ) ∈ L 1 ( B 1 / 2
      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.12.001
       
  • A boundary control problem for the steady self-propelled motion of a rigid
           body in a Navier–Stokes fluid
    • Authors: Toshiaki Hishida; Ana Leonor Silvestre; Takéo Takahashi
      Pages: 1507 - 1541
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Toshiaki Hishida, Ana Leonor Silvestre, Takéo Takahashi
      Consider a rigid body S ⊂ R 3 immersed in an infinitely extended Navier–Stokes fluid. We are interested in self-propelled motions of S in the steady state regime of the system rigid body-fluid, assuming that the mechanism used by the body to reach such a motion is modeled through a distribution of velocities v ⁎ on ∂ S . If the velocity V of S is given, can we find v ⁎ that generates V' We show that this can be solved as a control problem in which v ⁎ is a six-dimensional control such that either Supp v ⁎ ⊂ Γ , an arbitrary nonempty open subset of ∂Ω, or v ⁎ ⋅ n ∂ Ω = 0 . We also show that one of the self-propelled conditions implies a better summability of the fluid velocity.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.11.003
       
  • Nonlinear Beltrami operators, Schauder estimates and bounds for the
           Jacobian
    • Authors: Kari Astala; Albert Clop; Daniel Faraco; Jarmo Jääskeläinen; Aleksis Koski
      Pages: 1543 - 1559
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Kari Astala, Albert Clop, Daniel Faraco, Jarmo Jääskeläinen, Aleksis Koski
      We provide Schauder estimates for nonlinear Beltrami equations and lower bounds of the Jacobians for homeomorphic solutions. The results were announced in [1] but here we give detailed proofs.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.008
       
  • Nonhyperbolic step skew-products: Ergodic approximation
    • Authors: L.J. Díaz; K. Gelfert; M. Rams
      Pages: 1561 - 1598
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): L.J. Díaz, K. Gelfert, M. Rams
      We study transitive step skew-product maps modeled over a complete shift of k, k ≥ 2 , symbols whose fiber maps are defined on the circle and have intermingled contracting and expanding regions. These dynamics are genuinely nonhyperbolic and exhibit simultaneously ergodic measures with positive, negative, and zero exponents. We introduce a set of axioms for the fiber maps and study the dynamics of the resulting skew-product. These axioms turn out to capture the key mechanisms of the dynamics of nonhyperbolic robustly transitive maps with compact central leaves. Focusing on the nonhyperbolic ergodic measures (with zero fiber exponent) of these systems, we prove that such measures are approximated in the weak ⁎ topology and in entropy by hyperbolic ones. We also prove that they are in the intersection of the convex hulls of the measures with positive fiber exponent and with negative fiber exponent. Our methods also allow us to perturb hyperbolic measures. We can perturb a measure with negative exponent directly to a measure with positive exponent (and vice-versa), however we lose some amount of entropy in this process. The loss of entropy is determined by the difference between the Lyapunov exponents of the measures.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.009
       
  • Codimension two surfaces pinched by normal curvature evolving by mean
           curvature flow
    • Authors: Charles Baker; Huy The Nguyen
      Pages: 1599 - 1610
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Charles Baker, Huy The Nguyen
      We prove that codimension two surfaces satisfying a nonlinear curvature condition depending on normal curvature smoothly evolve by mean curvature flow to round points.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2016.10.010
       
  • Ground states of pseudo-relativistic boson stars under the critical
           stellar mass
    • Authors: Yujin Guo; Xiaoyu Zeng
      Pages: 1611 - 1632
      Abstract: Publication date: November–December 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 6
      Author(s): Yujin Guo, Xiaoyu Zeng
      We consider ground states of pseudo-relativistic boson stars with a self-interacting potential K ( x ) in R 3 , which can be described by minimizers of the pseudo-relativistic Hartree energy functional. Under some assumptions on K ( x ) , minimizers exist if the stellar mass N satisfies 0 < N < N ⁎ , and there is no minimizer if N > N ⁎ , where N ⁎ is called the critical stellar mass. In contrast to the case of the Coulomb-type potential where K ( x ) ≡ 1 , we prove that the existence of minimizers may occur at N = N ⁎ , depending on the local profile of K ( x ) near the origin. When there is no minimizer at N = N ⁎ , we also present a detailed analysis of the behavior of minimizers as N approaches N ⁎ from below, for which the stellar mass concentrates at a unique point.

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2017.04.001
       
  • Boundary-degenerate elliptic operators and Hölder continuity for
           solutions to variational equations and inequalities
    • Authors: Paul M.N. Feehan; Camelia A. Pop
      Pages: 1075 - 1129
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Paul M.N. Feehan, Camelia A. Pop
      We prove local supremum bounds, a Harnack inequality, Hölder continuity up to the boundary, and a strong maximum principle for solutions to a variational equation defined by an elliptic operator which becomes degenerate along a portion of the domain boundary and where no boundary condition is prescribed, regardless of the sign of the Fichera function. In addition, we prove Hölder continuity up to the boundary for solutions to variational inequalities defined by this boundary-degenerate elliptic operator.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.07.005
       
  • BMO solvability and the A∞ condition for second order parabolic
           operators
    • Authors: Martin Dindoš; Stefanie Petermichl; Jill Pipher
      Pages: 1155 - 1180
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Martin Dindoš, Stefanie Petermichl, Jill Pipher
      We prove that a sharp regularity property ( A ∞ ) of parabolic measure for operators in certain time-varying domains is equivalent to a Carleson measure property of bounded solutions. This equivalence was established in the elliptic case by Kenig, Kirchheim, Pipher and Toro, improving an earlier result of Kenig, Dindos and Pipher for solutions with data in BMO. The connection between regularity of the elliptic measure and certain Carleson measure properties of solutions was established in order to study solvability of boundary value problems for non-symmetric divergence form operators (Kenig, Koch, Pipher, and Toro). The extension to the parabolic setting requires an approach to the key estimates of the aforementioned works that primarily exploits the maximum principle. For various classes of parabolic operators ([24]), this criterion also provides an easier route to establish the solvability of the Dirichlet problem with data in L p for some p, and also to quantify these results in several aspects.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.09.004
       
  • Stable blowup for wave equations in odd space dimensions
    • Authors: Roland Donninger; Birgit Schörkhuber
      Pages: 1181 - 1213
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Roland Donninger, Birgit Schörkhuber
      We consider semilinear wave equations with focusing power nonlinearities in odd space dimensions d ≥ 5 . We prove that for every p > d + 3 d − 1 there exists an open set of radial initial data in H d + 1 2 × H d − 1 2 such that the corresponding solution exists in a backward lightcone and approaches the ODE blowup profile. The result covers the entire range of energy supercritical nonlinearities and extends our previous work for the three-dimensional radial wave equation to higher space dimensions.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.09.005
       
  • Structural stability of the inverse limit of endomorphisms
    • Authors: Pierre Berger; Alejandro Kocsard
      Pages: 1227 - 1253
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Pierre Berger, Alejandro Kocsard
      We prove that every endomorphism which satisfies Axiom A and the strong transversality conditions is C 1 -inverse limit structurally stable. These conditions were conjectured to be necessary and sufficient. This result is applied to the study of unfolding of some homoclinic tangencies. This also achieves a characterization of C 1 -inverse limit structurally stable covering maps.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.10.001
       
  • Normal form approach to global well-posedness of the quadratic derivative
           nonlinear Schrödinger equation on the circle
    • Authors: Jaywan Chung; Zihua Guo; Soonsik Kwon; Tadahiro Oh
      Pages: 1273 - 1297
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Jaywan Chung, Zihua Guo, Soonsik Kwon, Tadahiro Oh
      We consider the quadratic derivative nonlinear Schrödinger equation (dNLS) on the circle. In particular, we develop an infinite iteration scheme of normal form reductions for dNLS. By combining this normal form procedure with the Cole–Hopf transformation, we prove unconditional global well-posedness in L 2 ( T ) , and more generally in certain Fourier–Lebesgue spaces F L s , p ( T ) , under the mean-zero and smallness assumptions. As a byproduct, we construct an infinite sequence of quantities that are invariant under the dynamics. We also show the necessity of the smallness assumption by explicitly constructing a finite time blowup solution with non-small mean-zero initial data.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.10.003
       
  • Geometry of minimizers for the interaction energy with mildly repulsive
           potentials
    • Authors: J.A. Carrillo; A. Figalli; F.S. Patacchini
      Pages: 1299 - 1308
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): J.A. Carrillo, A. Figalli, F.S. Patacchini
      We show that the support of any local minimizer of the interaction energy consists of isolated points whenever the interaction potential is of class C 2 and mildly repulsive at the origin; moreover, if the minimizer is global, then its support is finite. In addition, for some class of potentials we prove the validity of a uniform upper bound on the cardinal of the support of a global minimizer. Finally, in the one-dimensional case, we give quantitative bounds.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.10.004
       
  • Fujita blow up phenomena and hair trigger effect: The role of dispersal
           tails
    • Authors: Matthieu Alfaro
      Pages: 1309 - 1327
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Matthieu Alfaro
      We consider the nonlocal diffusion equation ∂ t u = J ⁎ u − u + u 1 + p in the whole of R N . We prove that the Fujita exponent dramatically depends on the behavior of the Fourier transform of the kernel J near the origin, which is linked to the tails of J. In particular, for compactly supported or exponentially bounded kernels, the Fujita exponent is the same as that of the nonlinear Heat equation ∂ t u = Δ u + u 1 + p . On the other hand, for kernels with algebraic tails, the Fujita exponent is either of the Heat type or of some related Fractional type, depending on the finiteness of the second moment of J. As an application of the result in population dynamics models, we discuss the hair trigger effect for ∂ t u = J ⁎ u − u + u 1 + p ( 1 − u ) .

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.10.005
       
  • On condensate of solutions for the Chern–Simons–Higgs equation
    • Authors: Chang-Shou Lin; Shusen Yan
      Pages: 1329 - 1354
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Chang-Shou Lin, Shusen Yan
      This is the first part of our comprehensive study on the structure of doubly periodic solutions for the Chern–Simons–Higgs equation with a small coupling constant. We first classify the bubbling type of the blow-up point according to the limit equations. Assuming that all the blow-up points are away from the vortex points, we prove the non-coexistence of different bubbling types in a sequence of bubbling solutions. Secondly, for the CS type bubbling solutions, we obtain an existence result without the condition on the blow-up set as in [4]. This seems to be the first general existence result of the multi-bubbling CS type solutions which is obtained under nearly necessary conditions. Necessary and sufficient conditions are also discussed for the existence of bubbling solutions blowing up at vortex points.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2016.10.006
       
  • Convex billiards on convex spheres
    • Authors: Pengfei Zhang
      Pages: 793 - 816
      Abstract: Publication date: July–August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 4
      Author(s): Pengfei Zhang
      In this paper we study the dynamical billiards on a convex 2D sphere. We investigate some generic properties of the convex billiards on a general convex sphere. We prove that C ∞ generically, every periodic point is either hyperbolic or elliptic with irrational rotation number. Moreover, every hyperbolic periodic point admits some transverse homoclinic intersections. A new ingredient in our approach is Herman's result on Diophantine invariant curves that we use to prove the nonlinear stability of elliptic periodic points for a dense subset of convex billiards.

      PubDate: 2017-06-16T16:58:58Z
      DOI: 10.1016/j.anihpc.2016.07.001
       
  • Compact Sobolev embeddings and torsion functions
    • Authors: Lorenzo Brasco; Berardo Ruffini
      Pages: 817 - 843
      Abstract: Publication date: July–August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 4
      Author(s): Lorenzo Brasco, Berardo Ruffini
      For a general open set, we characterize the compactness of the embedding for the homogeneous Sobolev space D 0 1 , p ↪ L q in terms of the summability of its torsion function. In particular, for 1 ≤ q < p we obtain that the embedding is continuous if and only if it is compact. The proofs crucially exploit a torsional Hardy inequality that we investigate in detail.

      PubDate: 2017-06-16T16:58:58Z
      DOI: 10.1016/j.anihpc.2016.05.005
       
  • The variable coefficient thin obstacle problem: Optimal regularity and
           regularity of the regular free boundary
    • Authors: Herbert Koch; Angkana Rüland; Wenhui Shi
      Pages: 845 - 897
      Abstract: Publication date: July–August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 4
      Author(s): Herbert Koch, Angkana Rüland, Wenhui Shi
      This article deals with the variable coefficient thin obstacle problem in n + 1 dimensions. We address the regular free boundary regularity, the behavior of the solution close to the free boundary and the optimal regularity of the solution in a low regularity set-up. We first discuss the case of zero obstacle and W 1 , p metrics with p ∈ ( n + 1 , ∞ ] . In this framework, we prove the C 1 , α regularity of the regular free boundary and derive the leading order asymptotic expansion of solutions at regular free boundary points. We further show the optimal C 1 , min ⁡ { 1 − n + 1 p , 1 2 } regularity of solutions. New ingredients include the use of the Reifenberg flatness of the regular free boundary, the construction of an (almost) optimal barrier function and the introduction of an appropriate splitting of the solution. Important insights depend on the consideration of various intrinsic geometric structures. Based on variations of the arguments in [18] and the present article, we then also discuss the case of non-zero and interior thin obstacles. We obtain the optimal regularity of the solutions and the regularity of the regular free boundary for W 1 , p metrics and W 2 , p obstacles with p ∈ ( 2 ( n + 1 ) , ∞ ] .

      PubDate: 2017-06-16T16:58:58Z
      DOI: 10.1016/j.anihpc.2016.08.001
       
  • The two membranes problem for different operators
    • Authors: L. Caffarelli; D. De Silva; O. Savin
      Pages: 899 - 932
      Abstract: Publication date: July–August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 4
      Author(s): L. Caffarelli, D. De Silva, O. Savin
      We study the two membranes problem for different operators, possibly nonlocal. We prove a general result about the Hölder continuity of the solutions and we develop a viscosity solution approach to this problem. Then we obtain C 1 , γ regularity of the solutions provided that the orders of the two operators are different. In the special case when one operator coincides with the fractional Laplacian, we obtain the optimal regularity and a characterization of the free boundary.

      PubDate: 2017-06-16T16:58:58Z
      DOI: 10.1016/j.anihpc.2016.05.006
       
  • Integrability of the Brouwer degree for irregular arguments
    • Authors: Heiner Olbermann
      Pages: 933 - 959
      Abstract: Publication date: July–August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 4
      Author(s): Heiner Olbermann
      We prove that the Brouwer degree deg ⁡ ( u , U , ⋅ ) for a function u ∈ C 0 , α ( U ; R n ) is in L p ( R n ) if 1 ≤ p < n α d , where U ⊂ R n is open and bounded and d is the box dimension of ∂U. This is supplemented by a theorem showing that u j → u in C 0 , α ( U ; R n ) implies deg ⁡ ( u j , U , ⋅ ) → deg ⁡ ( u , U , ⋅ ) in L p ( R n ) for the parameter regime 1 ≤ p < n α d , while there exist convergent sequences u j → u in C 0 , α ( U ; R n ) such that ‖ deg ⁡ ( u j , U , ⋅ ) ‖ L p → ∞ for the opposite regime p > n α d .

      PubDate: 2017-06-16T16:58:58Z
      DOI: 10.1016/j.anihpc.2016.07.002
       
  • A Keller–Segel type system in higher dimensions
    • Authors: Suleyman Ulusoy
      Pages: 961 - 971
      Abstract: Publication date: July–August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 4
      Author(s): Suleyman Ulusoy
      We analyze an equation that is gradient flow of a functional related to Hardy–Littlewood–Sobolev inequality in whole Euclidean space R d , d ≥ 3 . Under the hypothesis of integrable initial data with finite second moment and energy, we show local-in-time existence for any mass of “free-energy solutions”, namely weak solutions with some free energy estimates. We exhibit that the qualitative behavior of solutions is decided by a critical value. Actually, there is a critical value of a parameter in the equation below which there is a global-in-time energy solution and above which there exist blowing-up energy solutions.

      PubDate: 2017-06-16T16:58:58Z
      DOI: 10.1016/j.anihpc.2016.08.002
       
  • Existence of discretely self-similar solutions to the Navier-Stokes
           equations for initial value in Lloc2(R3)
    • Authors: Dongho Chae; Jörg Wolf
      Abstract: Publication date: Available online 18 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Dongho Chae, Jörg Wolf
      We prove the existence of a forward discretely self-similar solutions to the Navier-Stokes equations in R 3 × ( 0 , + ∞ ) for a discretely self-similar initial velocity belonging to L l o c 2 ( R 3 ) .

      PubDate: 2017-10-18T17:15:27Z
      DOI: 10.1016/j.anihpc.2017.10.001
       
  • Correction and addendum to “Boundary regularity of minimizers of
           p(x)-energy functionals” [Ann. Inst. Henri Poincaré, Anal. Non
           Linéaire 33 (2) (2016) 451–476]
    • Authors: Maria Alessandra Ragusa; Atsushi Tachikawa
      Abstract: Publication date: Available online 6 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Maria Alessandra Ragusa, Atsushi Tachikawa
      In the paper [1] “Boundary regularity of minimizers of p ( x ) -energy functionals”, some modifications are needed. 1. The exponent p 2 = p 2 ( 2 R ) in the statement of Theorem 2.6 should be p 2 ( ρ ) . According to this correction, we should modify the proof of Theorem 3.2. 2. In Theorem 1.1, the domain Ω is assumed to have the Lipschitz boundary ∂Ω. However, we need to assume that ∂Ω is in the class C 1 .

      PubDate: 2017-10-11T15:26:17Z
      DOI: 10.1016/j.anihpc.2017.09.004
       
  • Long time asymptotic behavior of the focusing nonlinear Schrödinger
           equation
    • Authors: Michael Borghese; Robert Jenkins; Kenneth D.T.-R. McLaughlin
      Abstract: Publication date: Available online 2 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Michael Borghese, Robert Jenkins, Kenneth D.T.-R. McLaughlin
      We study the Cauchy problem for the focusing nonlinear Schrödinger (fNLS) equation. Using the Image 2 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 ( x 1 , x 2 , v 1 , v 2 ) = { ( x , t ) ∈ R 2 : x = x 0 + v t  with  x 0 ∈ [ x 1 , x 2 ] , v ∈ [ v 1 , v 2 ] } 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 L 2 ( R ) moment and (weak) derivative and that it not generate any spectral singularities.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2017.08.006
       
  • On a free boundary problem and minimal surfaces
    • Authors: Yong Liu; Kelei Wang; Juncheng Wei
      Abstract: Publication date: Available online 2 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(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 Savin's theorem [43] is optimal.

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2017.09.005
       
  • Dini estimates for nonlocal fully nonlinear elliptic equations
    • Authors: Hongjie Dong; Hong Zhang
      Abstract: Publication date: Available online 2 October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(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 C σ + α estimate in [9].

      PubDate: 2017-10-03T13:03:15Z
      DOI: 10.1016/j.anihpc.2017.09.003
       
  • Comparison of the Calabi and Mabuchi geometries and applications to
           geometric flows
    • Authors: Darvas
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Tamás Darvas
      Suppose ( X , ω ) is a compact Kähler manifold. We introduce and explore the metric geometry of the L p , q -Calabi Finsler structure on the space of Kähler metrics H . After noticing that the L p , q -Calabi and L p ′ -Mabuchi path length topologies on H do not typically dominate each other, we focus on the finite entropy space E Ent , contained in the intersection of the L p -Calabi and L 1 -Mabuchi completions of H and find that after a natural strengthening, the L p -Calabi and L 1 -Mabuchi topologies coincide on E Ent . As applications to our results, we give new convergence results for the Kähler–Ricci flow and the weak Calabi flow.

      PubDate: 2017-10-03T13:03:15Z
       
  • Wσ,ϵ-estimates for nonlocal elliptic equations
    • Authors: Hui
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Hui Yu
      We prove a W σ , ϵ -estimate for a class of nonlocal fully nonlinear elliptic equations by following Fanghua Lin's original approach [8] to the analogous problem for second order elliptic equations, by first proving a potential estimate, then combining this estimate with the ABP-type estimate by N. Guillen and R. Schwab to control the size of the superlevel sets of the σ-order derivatives of solutions.

      PubDate: 2017-10-03T13:03:15Z
       
  • A characterization result for the existence of a two-phase material
           minimizing the first eigenvalue
    • Authors: Juan
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Juan Casado-Díaz
      Given two isotropic homogeneous materials represented by two constants 0 < α < β in a smooth bounded open set Ω ⊂ R N , and a positive number κ < Ω , we consider here the problem consisting in finding a mixture of these materials α χ ω + β ( 1 − χ ω ) , ω ⊂ R N measurable, with ω ≤ κ , such that the first eigenvalue of the operator u ∈ H 0 1 ( Ω ) → − div ( ( α χ ω + β ( 1 − χ ω ) ) ∇ u ) reaches the minimum value. In a recent paper, [6], we have proved that this problem has not solution in general. On the other hand, it was proved in [1] that it has solution if Ω is a ball. Here, we show the following reciprocate result: If Ω ⊂ R N is smooth, simply connected and has connected boundary, then the problem has a solution if and only if Ω is a ball.

      PubDate: 2017-10-03T13:03:15Z
       
  • Small amplitude periodic solutions of Klein–Gordon equations
    • Authors: Nan
      Abstract: Publication date: September–October 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis, Volume 34, Issue 5
      Author(s): Nan Lu
      We consider a class of nonlinear Klein–Gordon equations u t t = u x x − u + f ( u ) and obtain a family of small amplitude periodic solutions, where the temporal and spatial period have different scales. The proof is based on a combination of Lyapunov–Schmidt reduction, averaging and Nash–Moser iteration.

      PubDate: 2017-10-03T13:03:15Z
       
  • Decay rate of iterated integrals of branched rough paths
    • Authors: Horatio Boedihardjo
      Abstract: Publication date: Available online 22 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(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.

      PubDate: 2017-09-26T04:21:17Z
      DOI: 10.1016/j.anihpc.2017.09.002
       
  • Singular integrals and a problem on mixing flows
    • Authors: Mahir Hadžić; Andreas Seeger; Charles K. Smart; Brian Street
      Abstract: Publication date: Available online 22 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(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.

      PubDate: 2017-09-26T04:21:17Z
      DOI: 10.1016/j.anihpc.2017.09.001
       
  • On the asymptotic growth of positive solutions to a nonlocal elliptic
           blow-up system involving strong competition
    • Authors: Susanna Terracini; Stefano Vita
      Abstract: Publication date: Available online 12 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Susanna Terracini, Stefano Vita
      For a competition-diffusion system involving the fractional Laplacian of the form − ( − Δ ) s u = u v 2 , − ( − Δ ) s v = v u 2 , u , v > 0 in R N , with s ∈ ( 0 , 1 ) , we prove that the maximal asymptotic growth rate for its entire solutions is 2s. Moreover, since we are able to construct symmetric solutions to the problem, when N = 2 with prescribed growth arbitrarily close to the critical one, we can conclude that the asymptotic bound found is optimal. Finally, we prove existence of genuinely higher dimensional solutions, when N ≥ 3 . Such problems arise, for example, as blow-ups of fractional reaction-diffusion systems when the interspecific competition rate tends to infinity.

      PubDate: 2017-09-13T17:03:13Z
      DOI: 10.1016/j.anihpc.2017.08.004
       
  • Boundary observability of gravity water waves
    • Authors: Thomas Alazard
      Abstract: Publication date: Available online 12 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Thomas Alazard
      Consider a three-dimensional fluid in a rectangular tank, bounded by a flat bottom, vertical walls and a free surface evolving under the influence of gravity. We prove that one can estimate its energy by looking only at the motion of the points of contact between the free surface and the vertical walls. The proof relies on the multiplier technique, the Craig-Sulem-Zakharov formulation of the water-wave problem, a Pohozaev identity for the Dirichlet to Neumann operator, previous results about the Cauchy problem and computations inspired by the analysis done by Benjamin and Olver of the conservation laws for water waves.

      PubDate: 2017-09-13T17:03:13Z
      DOI: 10.1016/j.anihpc.2017.07.006
       
  • Martingale-coboundary decomposition for families of dynamical systems
    • Authors: A. Korepanov; Z. Kosloff; I. Melbourne
      Abstract: Publication date: Available online 8 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): A. Korepanov, Z. Kosloff, I. Melbourne
      We prove statistical limit laws for sequences of Birkhoff sums of the type ∑ j = 0 n − 1 v n ∘ T n j where T n 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 T n is replaced by a fixed transformation T, and which is particularly effective in the case when T n varies with n. In addition to uniformly expanding/hyperbolic dynamical systems, our results include cases where the family T n consists of intermittent maps, unimodal maps (along the Collet-Eckmann parameters), Viana maps, and externally forced dispersing billiards. As an application, we prove a homogenization result for discrete fast-slow systems where the fast dynamics is generated by a family of nonuniformly hyperbolic transformations.

      PubDate: 2017-09-13T17:03:13Z
      DOI: 10.1016/j.anihpc.2017.08.005
       
  • Resolvent and spectral measure on non-trapping asymptotically hyperbolic
           manifolds III: Global-in-time Strichartz estimates without loss
    • Authors: Chen
      Abstract: Publication date: Available online 5 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Xi Chen
      In the present paper, we investigate global-in-time Strichartz estimates without loss on non-trapping asymptotically hyperbolic manifolds. Due to the hyperbolic nature of such manifolds, the set of admissible pairs for Strichartz estimates is much larger than usual. These results generalize the works on hyperbolic space due to Anker-Pierfelice and Ionescu-Staffilani. However, our approach is to employ the spectral measure estimates, obtained in the author's joint work with Hassell, to establish the dispersive estimates for truncated / microlocalized Schrödinger propagators as well as the corresponding energy estimates. Compared with hyperbolic space, the crucial point here is to cope with the conjugate points on the manifold. Additionally, these Strichartz estimates are applied to the L 2 well-posedness and L 2 scattering for nonlinear Schrödinger equations with power-like nonlinearity and small Cauchy data.

      PubDate: 2017-09-07T15:39:33Z
       
  • A classification result for the quasi-linear Liouville equation
    • Authors: Pierpaolo Esposito
      Abstract: Publication date: Available online 5 September 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Pierpaolo Esposito
      Entire solutions of the n−Laplace Liouville equation in R n with finite mass are completely classified.

      PubDate: 2017-09-07T15:39:33Z
      DOI: 10.1016/j.anihpc.2017.08.002
       
  • Weak solutions of semilinear elliptic equation involving Dirac mass
    • Authors: Huyuan Chen; Patricio Felmer; Jianfu Yang
      Abstract: Publication date: Available online 16 August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Huyuan Chen, Patricio Felmer, Jianfu Yang
      In this paper, we study the elliptic problem with Dirac mass (1) { − Δ u = V u p + k δ 0 in R N , lim x → + ∞ ⁡ u ( x ) = 0 , where N > 2 , p > 0 , k > 0 , δ 0 is the Dirac mass at the origin and the potential V is locally Lipchitz continuous in R N ∖ { 0 } , with non-empty support and satisfying 0 ≤ V ( x ) ≤ σ 1 x a 0 ( 1 + x a ∞ − a 0 ) , with a 0 < N , a 0 < a ∞ and σ 1 > 0 . We obtain two positive solutions of (1) with additional conditions for parameters on a ∞ , a 0 , p and k. The first solution is a minimal positive solution and the second solution is constructed via Mountain Pass Theorem.

      PubDate: 2017-09-02T13:02:54Z
      DOI: 10.1016/j.anihpc.2017.08.001
       
  • Constructing center-stable tori
    • Authors: Andy Hammerlindl
      Abstract: Publication date: Available online 11 August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Andy Hammerlindl
      We show that certain derived-from-Anosov diffeomorphisms on the 2-torus may be realized as the dynamics on a center-stable or center-unstable torus of a 3-dimensional strongly partially hyperbolic system. We also construct examples of center-stable and center-unstable tori in higher dimensions.

      PubDate: 2017-09-02T13:02:54Z
      DOI: 10.1016/j.anihpc.2017.07.005
       
  • Minimisers of the Allen-Cahn equation and the asymptotic Plateau problem
           on hyperbolic groups
    • Authors: Mramor
      Abstract: Publication date: Available online 9 August 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Blaž Mramor
      We investigate the existence of non-constant uniformly-bounded minimal solutions of the Allen-Cahn equation on a Gromov-hyperbolic group. We show that whenever the Laplace term in the Allen-Cahn equation is small enough, there exist minimal solutions satisfying a large class of prescribed asymptotic behaviours. For a phase field model on a hyperbolic group, such solutions describe phase transitions that asymptotically converge towards prescribed phases, given by asymptotic directions. In the spirit of de Giorgi's conjecture, we then fix an asymptotic behaviour and let the Laplace term go to zero. In the limit we obtain a solution to a corresponding asymptotic Plateau problem by Γ-convergence.

      PubDate: 2017-09-02T13:02:54Z
       
  • Global a priori estimates for the inhomogeneous Landau equation with
           moderately soft potentials
    • Authors: Stephen Cameron; Luis Silvestre; Stanley Snelson
      Abstract: Publication date: Available online 27 July 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Stephen Cameron, Luis Silvestre, Stanley Snelson
      We establish a priori upper bounds for solutions to the spatially inhomogeneous Landau equation in the case of moderately soft potentials, with arbitrary initial data, under the assumption that mass, energy and entropy densities stay under control. Our pointwise estimates decay polynomially in the velocity variable. We also show that if the initial data satisfies a Gaussian upper bound, this bound is propagated for all positive times.

      PubDate: 2017-08-03T05:28:19Z
      DOI: 10.1016/j.anihpc.2017.07.001
       
  • Well-posedness and exponential equilibration of a volume-surface
           reaction–diffusion system with nonlinear boundary coupling
    • Authors: Klemens Fellner; Evangelos Latos; Bao Quoc Tang
      Abstract: Publication date: Available online 25 July 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Klemens Fellner, Evangelos Latos, Bao Quoc Tang
      We consider a model system consisting of two reaction–diffusion equations, where one species diffuses in a volume while the other species diffuses on the surface which surrounds the volume. The two equations are coupled via a nonlinear reversible Robin-type boundary condition for the volume species and a matching reversible source term for the boundary species. As a consequence of the coupling, the total mass of the two species is conserved. The considered system is motivated for instance by models for asymmetric stem cell division. Firstly we prove the existence of a unique weak solution via an iterative method of converging upper and lower solutions to overcome the difficulties of the nonlinear boundary terms. Secondly, our main result shows explicit exponential convergence to equilibrium via an entropy method after deriving a suitable entropy entropy-dissipation estimate for the considered nonlinear volume-surface reaction–diffusion system.

      PubDate: 2017-08-03T05:28:19Z
      DOI: 10.1016/j.anihpc.2017.07.002
       
  • Hessian surfaces and local Lagrangian embeddings
    • Authors: Qing Han; Guofang Wang
      Abstract: Publication date: Available online 25 July 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Qing Han, Guofang Wang
      In this paper we prove that any smooth surfaces can be locally isometrically embedded into C 2 as Lagrangian surfaces. As a byproduct we obtain that any smooth surfaces are Hessian surfaces.

      PubDate: 2017-08-03T05:28:19Z
      DOI: 10.1016/j.anihpc.2017.07.003
       
  • Partial data inverse problems for Maxwell equations via Carleman estimates
    • Authors: Francis J. Chung; Petri Ola; Mikko Salo; Leo Tzou
      Abstract: Publication date: Available online 14 July 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Francis J. Chung, Petri Ola, Mikko Salo, Leo Tzou
      In this article we consider an inverse boundary value problem for the time-harmonic Maxwell equations. We show that the electromagnetic material parameters are determined by boundary measurements where part of the boundary data is measured on a possibly very small set. This is an extension of earlier scalar results of Bukhgeim–Uhlmann and Kenig–Sjöstrand–Uhlmann to the Maxwell system. The main contribution is to show that the Carleman estimate approach to scalar partial data inverse problems introduced in those works can be carried over to the Maxwell system.

      PubDate: 2017-07-24T05:59:14Z
      DOI: 10.1016/j.anihpc.2017.06.005
       
  • Hölder estimates for fractional parabolic equations with critical
           divergence free drifts
    • Authors: Matías G. Delgadino; Scott Smith
      Abstract: Publication date: Available online 5 July 2017
      Source:Annales de l'Institut Henri Poincare (C) Non Linear Analysis
      Author(s): Matías G. Delgadino, Scott Smith
      This work focuses on drift-diffusion equations with fractional dissipation ( − Δ ) α in the regime α ∈ ( 1 / 2 , 1 ) . Our main result is an a priori Hölder estimate on smooth solutions to the Cauchy problem, starting from initial data with finite energy. We prove that for some β ∈ ( 0 , 1 ) , the C β norm of the solution depends only on the size of the drift in critical spaces of the form L t q ( BMO x − γ ) with q > 2 and γ ∈ ( 0 , 2 α − 1 ] , along with the L x 2 norm of the initial datum. The proof uses the Caffarelli/Vasseur variant of De Giorgi's method for non-local equations.

      PubDate: 2017-07-12T04:30:36Z
      DOI: 10.1016/j.anihpc.2017.06.004
       
 
 
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