Subjects -> MATHEMATICS (Total: 1013 journals)
    - APPLIED MATHEMATICS (92 journals)
    - GEOMETRY AND TOPOLOGY (23 journals)
    - MATHEMATICS (714 journals)
    - MATHEMATICS (GENERAL) (45 journals)
    - NUMERICAL ANALYSIS (26 journals)
    - PROBABILITIES AND MATH STATISTICS (113 journals)

MATHEMATICS (714 journals)                  1 2 3 4 | Last

Showing 1 - 200 of 538 Journals sorted alphabetically
Abakós     Open Access   (Followers: 4)
Abhandlungen aus dem Mathematischen Seminar der Universitat Hamburg     Hybrid Journal   (Followers: 2)
Accounting Perspectives     Full-text available via subscription   (Followers: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 13)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 5)
ACM Transactions on Mathematical Software (TOMS)     Hybrid Journal   (Followers: 6)
ACS Applied Materials & Interfaces     Hybrid Journal   (Followers: 44)
Acta Applicandae Mathematicae     Hybrid Journal   (Followers: 2)
Acta Mathematica Hungarica     Hybrid Journal   (Followers: 3)
Acta Mathematica Sinica, English Series     Hybrid Journal   (Followers: 5)
Acta Mathematica Vietnamica     Hybrid Journal  
Acta Mathematicae Applicatae Sinica, English Series     Hybrid Journal  
Advanced Science Letters     Full-text available via subscription   (Followers: 9)
Advances in Applied Clifford Algebras     Hybrid Journal   (Followers: 6)
Advances in Catalysis     Full-text available via subscription   (Followers: 7)
Advances in Complex Systems     Hybrid Journal   (Followers: 10)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 16)
Advances in Decision Sciences     Open Access   (Followers: 4)
Advances in Difference Equations     Open Access   (Followers: 4)
Advances in Fixed Point Theory     Open Access  
Advances in Geosciences (ADGEO)     Open Access   (Followers: 21)
Advances in Linear Algebra & Matrix Theory     Open Access   (Followers: 7)
Advances in Materials Science     Open Access   (Followers: 23)
Advances in Mathematical Physics     Open Access   (Followers: 6)
Advances in Mathematics     Full-text available via subscription   (Followers: 18)
Advances in Numerical Analysis     Open Access   (Followers: 4)
Advances in Operations Research     Open Access   (Followers: 13)
Advances in Operator Theory     Hybrid Journal  
Advances in Pure Mathematics     Open Access   (Followers: 10)
Advances in Science and Research (ASR)     Open Access   (Followers: 8)
Aequationes Mathematicae     Hybrid Journal   (Followers: 2)
African Journal of Educational Studies in Mathematics and Sciences     Full-text available via subscription   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 5)
Afrika Matematika     Hybrid Journal   (Followers: 2)
Air, Soil & Water Research     Open Access   (Followers: 7)
AKSIOMATIK : Jurnal Penelitian Pendidikan dan Pembelajaran Matematika     Open Access  
Al-Jabar : Jurnal Pendidikan Matematika     Open Access  
Al-Qadisiyah Journal for Computer Science and Mathematics     Open Access   (Followers: 3)
AL-Rafidain Journal of Computer Sciences and Mathematics     Open Access   (Followers: 4)
Algebra and Logic     Hybrid Journal   (Followers: 9)
Algebra Colloquium     Hybrid Journal   (Followers: 3)
Algebra Universalis     Hybrid Journal   (Followers: 3)
Algorithmic Operations Research     Open Access   (Followers: 7)
Algorithms     Open Access   (Followers: 15)
Algorithms Research     Open Access   (Followers: 2)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Mathematical Analysis     Open Access   (Followers: 1)
American Journal of Mathematical and Management Sciences     Hybrid Journal  
American Journal of Mathematics     Full-text available via subscription   (Followers: 8)
American Journal of Operations Research     Open Access   (Followers: 6)
American Mathematical Monthly     Full-text available via subscription   (Followers: 3)
An International Journal of Optimization and Control: Theories & Applications     Open Access   (Followers: 13)
Analele Universitatii Ovidius Constanta - Seria Matematica     Open Access  
Analysis and Applications     Hybrid Journal   (Followers: 2)
Analysis and Mathematical Physics     Hybrid Journal   (Followers: 7)
Anargya : Jurnal Ilmiah Pendidikan Matematika     Open Access  
Annales Mathematicae Silesianae     Open Access  
Annales mathématiques du Québec     Hybrid Journal   (Followers: 3)
Annales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica     Open Access   (Followers: 1)
Annales Universitatis Paedagogicae Cracoviensis. Studia Mathematica     Open Access  
Annali di Matematica Pura ed Applicata     Hybrid Journal   (Followers: 1)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 17)
Annals of Functional Analysis     Hybrid Journal   (Followers: 2)
Annals of Mathematics     Full-text available via subscription   (Followers: 5)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 13)
Annals of PDE     Hybrid Journal  
Annals of Pure and Applied Logic     Open Access   (Followers: 5)
Annals of the Alexandru Ioan Cuza University - Mathematics     Open Access   (Followers: 1)
Annals of the Institute of Statistical Mathematics     Hybrid Journal   (Followers: 1)
Annals of West University of Timisoara - Mathematics     Open Access   (Followers: 1)
Annals of West University of Timisoara - Mathematics and Computer Science     Open Access   (Followers: 2)
Annuaire du Collège de France     Open Access   (Followers: 6)
ANZIAM Journal     Open Access   (Followers: 1)
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 3)
Applications of Mathematics     Hybrid Journal   (Followers: 3)
Applied Categorical Structures     Hybrid Journal   (Followers: 5)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 17)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics     Open Access   (Followers: 6)
Applied Mathematics & Optimization     Hybrid Journal   (Followers: 7)
Applied Mathematics - A Journal of Chinese Universities     Hybrid Journal   (Followers: 1)
Applied Mathematics and Nonlinear Sciences     Open Access   (Followers: 1)
Applied Mathematics Letters     Full-text available via subscription   (Followers: 4)
Applied Mathematics Research eXpress     Hybrid Journal   (Followers: 1)
Applied Network Science     Open Access   (Followers: 3)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 4)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
Arab Journal of Mathematical Sciences     Open Access   (Followers: 3)
Arabian Journal of Mathematics     Open Access   (Followers: 1)
Archive for Mathematical Logic     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
Armenian Journal of Mathematics     Open Access  
Arnold Mathematical Journal     Hybrid Journal   (Followers: 1)
Artificial Satellites     Open Access   (Followers: 22)
Asia-Pacific Journal of Operational Research     Hybrid Journal   (Followers: 3)
Asian Journal of Algebra     Open Access   (Followers: 1)
Asian Research Journal of Mathematics     Open Access  
Asian-European Journal of Mathematics     Hybrid Journal   (Followers: 2)
Australian Mathematics Teacher, The     Full-text available via subscription   (Followers: 7)
Australian Primary Mathematics Classroom     Full-text available via subscription   (Followers: 5)
Australian Senior Mathematics Journal     Full-text available via subscription   (Followers: 1)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Axioms     Open Access   (Followers: 1)
Baltic International Yearbook of Cognition, Logic and Communication     Open Access   (Followers: 2)
Banach Journal of Mathematical Analysis     Hybrid Journal  
Basin Research     Hybrid Journal   (Followers: 6)
BIBECHANA     Open Access  
Biomath     Open Access  
BIT Numerical Mathematics     Hybrid Journal  
Boletim Cearense de Educação e História da Matemática     Open Access  
Boletim de Educação Matemática     Open Access  
Boletín de la Sociedad Matemática Mexicana     Hybrid Journal  
Bollettino dell'Unione Matematica Italiana     Full-text available via subscription  
British Journal for the History of Mathematics     Hybrid Journal   (Followers: 2)
British Journal of Mathematical and Statistical Psychology     Full-text available via subscription   (Followers: 18)
British Journal of Mathematics & Computer Science     Full-text available via subscription   (Followers: 1)
Buletinul Academiei de Stiinte a Republicii Moldova. Matematica     Open Access   (Followers: 3)
Bulletin des Sciences Mathamatiques     Full-text available via subscription   (Followers: 3)
Bulletin of Dnipropetrovsk University. Series : Communications in Mathematical Modeling and Differential Equations Theory     Open Access   (Followers: 3)
Bulletin of Mathematical Sciences     Open Access   (Followers: 1)
Bulletin of Symbolic Logic     Full-text available via subscription   (Followers: 4)
Bulletin of Taras Shevchenko National University of Kyiv. Series: Physics and Mathematics     Open Access  
Bulletin of the Australian Mathematical Society     Full-text available via subscription   (Followers: 2)
Bulletin of the Brazilian Mathematical Society, New Series     Hybrid Journal  
Bulletin of the Iranian Mathematical Society     Hybrid Journal  
Bulletin of the London Mathematical Society     Hybrid Journal   (Followers: 3)
Bulletin of the Malaysian Mathematical Sciences Society     Hybrid Journal  
Cadernos do IME : Série Matemática     Open Access  
Calculus of Variations and Partial Differential Equations     Hybrid Journal   (Followers: 1)
Canadian Journal of Mathematics / Journal canadien de mathématiques     Hybrid Journal  
Canadian Journal of Science, Mathematics and Technology Education     Hybrid Journal   (Followers: 20)
Canadian Mathematical Bulletin     Hybrid Journal  
Carpathian Mathematical Publications     Open Access  
Catalysis in Industry     Hybrid Journal  
CAUCHY     Open Access   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 5)
CHANCE     Hybrid Journal   (Followers: 5)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 1)
Chaos, Solitons & Fractals : X     Open Access   (Followers: 1)
ChemSusChem     Hybrid Journal   (Followers: 8)
Chinese Annals of Mathematics, Series B     Hybrid Journal  
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
Chinese Journal of Mathematics     Open Access  
Ciencia     Open Access  
CODEE Journal     Open Access  
Cogent Mathematics     Open Access   (Followers: 2)
Cognitive Computation     Hybrid Journal   (Followers: 3)
Collectanea Mathematica     Hybrid Journal  
College Mathematics Journal     Hybrid Journal   (Followers: 3)
COMBINATORICA     Hybrid Journal  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 5)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 22)
Commentarii Mathematici Helvetici     Hybrid Journal   (Followers: 1)
Communications in Combinatorics and Optimization     Open Access  
Communications in Contemporary Mathematics     Hybrid Journal  
Communications in Mathematical Physics     Hybrid Journal   (Followers: 3)
Communications On Pure & Applied Mathematics     Hybrid Journal   (Followers: 6)
Complex Analysis and its Synergies     Open Access   (Followers: 1)
Complex Variables and Elliptic Equations: An International Journal     Hybrid Journal  
Compositio Mathematica     Full-text available via subscription   (Followers: 2)
Comptes Rendus : Mathematique     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 3)
Computational and Mathematical Methods     Hybrid Journal  
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 5)
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 12)
Computational Methods and Function Theory     Hybrid Journal  
Computational Optimization and Applications     Hybrid Journal   (Followers: 9)
Computers & Mathematics with Applications     Full-text available via subscription   (Followers: 12)
Confluentes Mathematici     Hybrid Journal  
Constructive Mathematical Analysis     Open Access  
Contributions to Discrete Mathematics     Open Access  
Contributions to Game Theory and Management     Open Access  
COSMOS     Hybrid Journal   (Followers: 1)
Cross Section     Full-text available via subscription   (Followers: 1)
Cryptography and Communications     Hybrid Journal   (Followers: 11)
Cuadernos de Investigación y Formación en Educación Matemática     Open Access  
Cubo. A Mathematical Journal     Open Access  
Current Research in Biostatistics     Open Access   (Followers: 8)
Czechoslovak Mathematical Journal     Hybrid Journal  
Daya Matematis : Jurnal Inovasi Pendidikan Matematika     Open Access  
Demographic Research     Open Access   (Followers: 14)
Design Journal : An International Journal for All Aspects of Design     Hybrid Journal   (Followers: 35)
Desimal : Jurnal Matematika     Open Access  
Dhaka University Journal of Science     Open Access  
Differential Equations and Dynamical Systems     Hybrid Journal   (Followers: 3)
Differentsial'nye Uravneniya     Open Access  
Digital Experiences in Mathematics Education     Hybrid Journal   (Followers: 3)
Discrete Mathematics     Hybrid Journal   (Followers: 7)
Discrete Mathematics & Theoretical Computer Science     Open Access   (Followers: 1)
Discrete Mathematics, Algorithms and Applications     Hybrid Journal   (Followers: 2)
Discussiones Mathematicae - General Algebra and Applications     Open Access  
Discussiones Mathematicae Graph Theory     Open Access   (Followers: 1)
Diskretnaya Matematika     Full-text available via subscription  
Doklady Akademii Nauk     Open Access  

        1 2 3 4 | Last

Similar Journals
Journal Cover
Calculus of Variations and Partial Differential Equations
Journal Prestige (SJR): 3.352
Citation Impact (citeScore): 2
Number of Followers: 1  
 
  Hybrid Journal Hybrid journal (It can contain Open Access articles)
ISSN (Print) 1432-0835 - ISSN (Online) 0944-2669
Published by Springer-Verlag Homepage  [2467 journals]
  • Smooth approximation of mappings with rank of the derivative at most 1

    • Free pre-print version: Loading...

      Abstract: Abstract It was conjectured that if \(f\in C^1({\mathbb {R}}^n,{\mathbb {R}}^n)\) satisfies \(\mathrm{rank\,}Df\le m<n\) everywhere in \({\mathbb {R}}^n\) , then f can be uniformly approximated by \(C^\infty \) -mappings g satisfying \(\mathrm{rank\,}Dg\le m\) everywhere. While in general, there are counterexamples to this conjecture, we prove that the answer is in the positive when \(m=1\) . More precisely, if \(m=1\) , our result yields an almost-uniform approximation of locally Lipschitz mappings \(f:\Omega \rightarrow {\mathbb {R}}^n\) , satisfying \(\mathrm{rank\,}Df\le 1\) a.e., by \(C^\infty \) -mappings g with \(\mathrm{rank\,}Dg\le 1\) , provided \(\Omega \subset {\mathbb {R}}^n\) is simply connected. The construction of the approximation employs techniques of analysis on metric spaces, including the theory of metric trees ( \({\mathbb {R}}\) -trees).
      PubDate: 2023-01-20
       
  • Stability of the viscoelastic Rayleigh–Bénard problem with an
           upper free boundary

    • Free pre-print version: Loading...

      Abstract: Abstract Motivated by the stability result of the Rayleigh–Bénard problem in a fixed slab domain in Jiang and Liu (Nonlinearity 33:1677–1704, 2020) and the global-in-time well-posedness of an incompressible viscoelastic fluid system with an upper free boundary in Xu et al. (Arch Ration Mech Anal 208:753–803, 2013), we further investigate the Rayleigh–Bénard problem for an incompressible viscoelastic fluid in a three-dimensional horizontally periodic domain with the lower fixed boundary and with the upper free boundary. By a careful energy method, we establish an explicit stability condition, under which the viscoelastic Rayleigh–Bénard problem has a unique global-in-time solution with exponential time-decay. Our result presents that the elasticity can inhibit the thermal instability for sufficiently large elasticity coefficient \(\kappa \) .
      PubDate: 2023-01-20
       
  • Boundary regularity for viscosity solutions of nonlinear singular elliptic
           equations

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper we establish boundary regularity for viscosity solutions of nonlinear singular elliptic equations $$\begin{aligned} \left\{ \begin{array}{rclll} F\left( D^2u,Du,u,\frac{u_{x_n}}{x_n},\frac{u}{x_n^2},x\right) &{}=&{}f(x)&{}\textrm{in}&{}B'_1\times (0,1),\\ u(x)&{}=&{}\phi (x')&{}\textrm{on}&{}B'_1\times \{0\}. \end{array}\right. \end{aligned}$$ We prove that if there exists a smooth approximation solution \(u_*\) which satisfies \(u-u_*=O(x_n^\mu )\) , then for any \(\epsilon >0\) , \(u\in C^{\mu -\epsilon }\) up to the boundary \(\{x_n=0\}\) .
      PubDate: 2023-01-20
       
  • On Double Hölder regularity of the hydrodynamic pressure in bounded
           domains

    • Free pre-print version: Loading...

      Abstract: Abstract We prove that the hydrodynamic pressure p associated to the velocity \(u\in C^\theta (\Omega )\) , \(\theta \in (0,1)\) , of an inviscid incompressible fluid in a bounded and simply connected domain \(\Omega \subset {\mathbb {R}}^d\) with \(C^{2+}\) boundary satisfies \(p\in C^{\theta }(\Omega )\) for \(\theta \le \frac{1}{2}\) and \(p\in C^{1,2\theta -1}(\Omega )\) for \(\theta >\frac{1}{2}\) . Moreover, when \(\partial \Omega \in C^{3+}\) , we prove that an almost double Hölder regularity \(p\in C^{2\theta -}(\Omega )\) holds even for \(\theta <\frac{1}{2}\) . This extends and improves the recent result of Bardos and Titi (Philos Trans R Soc A, 2022) obtained in the planar case to every dimension \(d\ge 2\) and it also doubles the pressure regularity. Differently from Bardos and Titi (2022), we do not introduce a new boundary condition for the pressure, but instead work with the natural one. In the boundary-free case of the d-dimensional torus, we show that the double regularity of the pressure can be actually achieved under the weaker assumption that the divergence of the velocity is sufficiently regular, thus not necessarily zero.
      PubDate: 2023-01-20
       
  • Dynamical (In)Stability of Ricci-flat ALE metrics along the Ricci flow

    • Free pre-print version: Loading...

      Abstract: Abstract We study the stability and instability of ALE Ricci-flat metrics around which a Łojasiewicz inequality is satisfied for a variation of Perelman’s \(\lambda \) functional adapted to the ALE situation and denoted \(\lambda _{{\text {ALE}}}\) . This functional was introduced by the authors in a recent work and it has been proven that it satisfies a good enough Łojasiewicz inequality at least in neighborhoods of integrable ALE Ricci-flat metrics in dimension larger than or equal to 5.
      PubDate: 2023-01-12
       
  • A Bochner formula on path space for the Ricci flow

    • Free pre-print version: Loading...

      Abstract: Abstract We generalize the classical Bochner formula for the heat flow on evolving manifolds \((M,g_{t})_{t \in [0,T]}\) to an infinite-dimensional Bochner formula for martingales on parabolic path space \(P{\mathcal {M}}\) of space-time \({\mathcal {M}} = M \times [0,T]\) . Our new Bochner formula and the inequalities that follow from it are strong enough to characterize solutions of the Ricci flow. Specifically, we obtain characterizations of the Ricci flow in terms of Bochner inequalities on parabolic path space. We also obtain gradient and Hessian estimates for martingales on parabolic path space, as well as condensed proofs of the prior characterizations of the Ricci flow from Haslhofer–Naber (J Eur Math Soc 20(5):1269–1302, 2018a). Our results are parabolic counterparts of the recent results in the elliptic setting from Haslhofer–Naber (Commun Pure Appl Math 71(6):1074–1108, 2018b).
      PubDate: 2023-01-12
       
  • On the prescribed scalar curvature problem with very degenerate prescribed
           functions

    • Free pre-print version: Loading...

      Abstract: Abstract We revisit the well known prescribed scalar curvature problem $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta u=\big (1+\varepsilon K(x)\big )u^{2^*-1}, u(x)>0,~~ &{}{x\in \mathbb {R}^N},\\ u\in \mathcal {D}^{1,2}(\mathbb {R}^N),\\ \end{array}\right. } \end{aligned}$$ where \(2^*=\frac{2N}{N-2}\) , \(N\ge 5\) , \(\varepsilon >0\) and \(K(x)\in C^1(\mathbb {R}^N)\cap L^{\infty }(\mathbb {R}^N)\) . It is known that there are a number of results related to the existence of solutions concentrating at the isolated critical points of K(x). However, if K(x) has non-isolated critical points with different degenerate rates along different directions, whether there exist solutions concentrating at these points is still an open problem. We give a certain positive answer to this problem via applying a blow-up argument based on local Pohozaev identities and modified finite dimensional reduction method when the dimension of critical point set of K(x) ranges from 1 to \(N-1\) , which generalizes some results in Cao et al. (Calc Var Partial Differ Equ 15:403–419, 2002) and Li (J Differ Equ 120:319–410, 1995; Commun Pure Appl Math 49:541–597, 1996).
      PubDate: 2023-01-11
       
  • Hardy and Rellich inequality on lattices

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we study the asymptotic behaviour of the sharp constant in discrete Hardy and Rellich inequality on the lattice \(\mathbb {Z}^d\) as \(d \rightarrow \infty \) . In the process, we proved some Hardy-type inequalities for the operators \(\Delta ^m\) and \(\nabla (\Delta ^m)\) for non-negative integers m on a d dimensional torus. It turns out that the sharp constant in discrete Hardy and Rellich inequality grows as d and \(d^2\) respectively as \( d \rightarrow \infty \) .
      PubDate: 2023-01-11
       
  • Uniform a priori estimates for positive solutions of the Lane–Emden
           system in the plane

    • Free pre-print version: Loading...

      Abstract: Abstract We prove that positive solutions of the superlinear Lane–Emden system in a two-dimensional smooth bounded domain are bounded independently of the exponents in the system, provided the exponents are comparable. As a consequence, the energy of the solutions is uniformly bounded, a crucial information in their asymptotic study. In addition, the boundedness may fail if the exponents are not comparable.
      PubDate: 2023-01-11
       
  • Approximation of weak geodesics and subharmonicity of Mabuchi energy, II:
           $$\varepsilon $$ -geodesics

    • Free pre-print version: Loading...

      Abstract: Abstract The purpose of this article is to study the strict convexity of the Mabuchi functional along a \({{\mathcal {C}}}^{1,{{\bar{1}}}}\) -geodesic, with the aid of the \(\varepsilon \) -geodesics. We proved the \(L^2\) -convergence of the fiberwise volume element of the \(\varepsilon \) -geodesic. Moreover, the geodesic is proved to be uniformly fiberwise non-degenerate if the Mabuchi functional is \(\varepsilon \) -affine.
      PubDate: 2023-01-11
       
  • Boundary plasmas for a confined plasma problem in dimensional two

    • Free pre-print version: Loading...

      Abstract: Abstract We consider a free boundary problem arising in the study of the equilibrium of a confined Tokamak plasma in dimensional two. By choosing a suitable flux constant on each connected component of the boundary of the domain, we construct solutions with many sharp peaks near the boundary and prove that the number of solutions of this problem goes to infinity as parameter tends to infinity.
      PubDate: 2023-01-11
       
  • On the second boundary value problem for Lagrangian mean curvature
           equation

    • Free pre-print version: Loading...

      Abstract: Abstract Considering the second boundary value problem of the Lagrangian mean curvature equation, we obtain the existence and uniqueness of the smooth uniformly convex solution, which generalizes the Brendle–Warren’s theorem about minimal Lagrangian diffeomorphism in Euclidean metric space.
      PubDate: 2023-01-11
       
  • Rigidity of bordered polyhedral surfaces

    • Free pre-print version: Loading...

      Abstract: Abstract This paper investigates the rigidity of bordered polyhedral surfaces. Using the variational principle, we show that bordered polyhedral surfaces are determined by boundary value and discrete curvatures on the interior edges. As a corollary, we reprove the classical result that two Euclidean cyclic polygons (or hyperbolic cyclic polygons) are congruent if the lengths of their sides are equal.
      PubDate: 2023-01-11
       
  • First and second derivative Hölder estimates for generated Jacobian
           equations

    • Free pre-print version: Loading...

      Abstract: Abstract We prove two Hölder regularity results for solutions of generated Jacobian equations. First, that under the A3 condition and the assumption of nonnegative \(L^p\) valued data solutions are \(C^{1,\alpha }\) for an \(\alpha \) that is sharp. Then, under the additional assumption of positive Dini continuous data, we prove a \(C^{2}\) estimate. Thus the equation is uniformly elliptic and when the data is Hölder continuous solutions are in \(C^{2,\alpha }\) .
      PubDate: 2023-01-11
       
  • The construction of $$\epsilon $$ -splitting map

    • Free pre-print version: Loading...

      Abstract: Abstract For a geodesic ball with non-negative Ricci curvature and almost maximal volume, without using compactness argument, we construct an \(\epsilon \) -splitting map on a concentric geodesic ball with uniformly small radius. There are two new technical points in our proof. The first one is the way of finding n directional points by induction and stratified almost Gou–Gu Theorem. The other one is the error estimates of projections, which guarantee the n directional points we find really determine n different directions.
      PubDate: 2023-01-11
       
  • Uniform exponential contraction for viscous Hamilton–Jacobi
           equations

    • Free pre-print version: Loading...

      Abstract: Abstract The well known phenomenon of exponential contraction for solutions to the viscous Hamilton–Jacobi equation in the space-periodic setting is based on the Markov mechanism. However, the corresponding Lyapunov exponent \(\lambda (\nu )\) characterizing the exponential rate of contraction depends on the viscosity \(\nu \) . The Markov mechanism provides only a lower bound for \(\lambda (\nu )\) which vanishes in the limit \(\nu \rightarrow 0\) . At the same time, in the inviscid case \(\nu =0\) one also has exponential contraction based on a completely different dynamical mechanism. This mechanism is based on hyperbolicity of action-minimizing orbits for the related Lagrangian variational problem. In this paper we consider the discrete time case (kicked forcing), and establish a uniform lower bound for \(\lambda (\nu )\) which is valid for all \(\nu \ge 0\) . The proof is based on a nontrivial interplay between the dynamical and Markov mechanisms for exponential contraction. We combine PDE methods with the ideas from the Weak KAM theory.
      PubDate: 2023-01-11
       
  • Solitary waves for the nonlinear Schrödinger–Poisson system with
           positron–electron interaction

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we study the existence of positive solutions to the nonlinear elliptic system $$\begin{aligned} {\left\{ \begin{array}{ll} -\Delta u_1+ u_1+(\mu _{11}\phi _{u_1}-\mu _{12}\phi _{u_2})u_1=\frac{1}{2\pi }\int _0^{2\pi } u_1+e^{i\theta }u_2 ^{p-1}(u_1+e^{i\theta }u_2)d\theta \ \ \text{ in } \ \ {{\mathbb {R}}}^3,\\ -\Delta u_2+ u_2+(\mu _{22}\phi _{u_2}-\mu _{12}\phi _{u_1})u_2=\frac{1}{2\pi }\int _0^{2\pi } u_2+e^{i\theta }u_1 ^{p-1}(u_2+e^{i\theta }u_1) d\theta \ \ \text{ in } \ \ {{\mathbb {R}}}^3, \end{array}\right. } \end{aligned}$$ which is derived from taking the nonrelativistic limit of the nonlinear Maxwell–Klein–Gordon equations under the decomposition of waves functions into positron and electron parts. We characterize the existence and nonexistence of positive vector solutions, depending on parameters p and \(\mu _{ij}\) .
      PubDate: 2023-01-07
       
  • Prescribed mass standing waves for energy critical Hartree equations

    • Free pre-print version: Loading...

      Abstract: Abstract In this paper, we focus on the solutions to the energy critical Hartree equations $$\begin{aligned} -\Delta u=\lambda u+\mu ( x ^{-\alpha }* u ^{2})u+( x ^{-4}* u ^{2})u,\ \ x\in \mathbb {R}^{N} \end{aligned}$$ under the normalized constraint $$\begin{aligned} \int _{{\mathbb {R}^N}} {{u}^2}=c>0, \end{aligned}$$ where \(N\ge 5\) , \(\mu \in \mathbb {R}\) , \(0<\alpha <4\) , and the frequency \(\lambda \in \mathbb {R}\) is a part of unknown and appears as Lagrange multiplier. Under different assumptions on c, \(\mu \) and \(\alpha \) , we prove some existence, non-existence, multiplicity and asymptotic results of normalized solutions to the above problem. In addition, the stability of the corresponding standing waves to the related time-dependent problem is discussed. These results are a continuation of our previous works, Luo (J Differ Equ, 195:455–467, 2019) and Cao et al. (J Differ Equ, 276:228–263, 2021), concerning normalized solutions to Hartree equations from energy subcritical to energy critical case.
      PubDate: 2023-01-07
       
  • Wolff potentials and measure data vectorial problems with Orlicz growth

    • Free pre-print version: Loading...

      Abstract: Abstract We study solutions to measure data elliptic systems with Uhlenbeck-type structure that involve operator of divergence form, depending continuously on the spacial variable, and exposing doubling Orlicz growth with respect to the second variable. Pointwise estimates for the solutions that we provide are expressed in terms of a nonlinear potential of generalized Wolff type. Not only we retrieve the recent sharp results proven for p-Laplace systems, but additionally our study covers the natural scope of operators with similar structure and natural class of Orlicz growth.
      PubDate: 2023-01-07
       
  • Boundedness of solutions to Dirichlet, Neumann and Robin problems for
           elliptic equations in Orlicz spaces

    • Free pre-print version: Loading...

      Abstract: Abstract Boundary value problems for second-order elliptic equations in divergence form, whose nonlinearity is governed by a convex function of non-necessarily power type, are considered. The global boundedness of their solutions is established under boundary conditions of Dirichlet, or Neumann, or Robin type. A decisive role in the results is played by optimal forms of Orlicz-Sobolev embeddings and boundary trace embeddings, which allow for critical growths of the coefficients.
      PubDate: 2023-01-07
       
 
JournalTOCs
School of Mathematical and Computer Sciences
Heriot-Watt University
Edinburgh, EH14 4AS, UK
Email: journaltocs@hw.ac.uk
Tel: +00 44 (0)131 4513762
 


Your IP address: 35.173.35.14
 
Home (Search)
API
About JournalTOCs
News (blog, publications)
JournalTOCs on Twitter   JournalTOCs on Facebook

JournalTOCs © 2009-