Existence and multiplicity results for anisotropic stationary Schrödinger equations

DOI10.4171/RLM/669zbMath1312.35106OpenAlexW2017712667MaRDI QIDQ2449568

M. Mirzapour, Vicenţiu D. Rădulescu, Ghasem Alizadeh Afrouzi

Publication date: 8 May 2014

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/rlm/669

zbMATH Keywords

mountain pass theoremanisotropic Sobolev spacesFountain theoremvariable exponentdual fountain theorem

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Degenerate elliptic equations (35J70) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) NLS equations (nonlinear Schrödinger equations) (35Q55) Weak solutions to PDEs (35D30) Quasilinear elliptic equations (35J62)

Related Items (2)

Stationary waves of Schrödinger-type equations with variable exponent ⋮ Infinite sharp conditions by Nehari manifolds for nonlinear Schrödinger equations

Cites Work

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• On weak solutions for \(p\)-Laplacian equations with weights
• Maximum principles for anisotropic elliptic inequalities
• On a class of nonlinear Schrödinger equations
• The nonlinear Schrödinger equation. Self-focusing and wave collapse
• Existence and nonexistence results for anisotropic quasilinear elliptic equations
• Existence and multiplicity of solutions for \(p(x)\)-Laplacian equations in \(\mathbb R^N\)
• Dual variational methods in critical point theory and applications
• Eigenvalue problems for anisotropic quasilinear elliptic equations with variable exponent
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• Multiplicity of solutions for a class of anisotropic elliptic equations with variable exponent
• Sobolev embeddings with variable exponent
• Infinitely many solutions of a symmetric Dirichlet problem
• Variable Exponent, Linear Growth Functionals in Image Restoration
• Mathematical modeling of electrorheological materials

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