Qualitative Properties of Anisotropic Elliptic Schrödinger Equations

DOI10.1515/ANS-2014-0312zbMath1301.35043OpenAlexW2516082078MaRDI QIDQ2923162

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

Publication date: 15 October 2014

Published in: Advanced Nonlinear Studies (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/ans-2014-0312

zbMATH Keywords

Ekeland variational principleFountain theoremvariable exponentMountain pass theoremdual fountain theoremdegenerate anisoptropic Sobolev spaces

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) Quasilinear elliptic equations (35J62)

Related Items (3)

Infinitely many solutions for anisotropic elliptic equations with variable exponent ⋮ Variational analysis of anisotropic Schrödinger equations without Ambrosetti-Rabinowitz-type condition ⋮ Infinite sharp conditions by Nehari manifolds for nonlinear Schrödinger equations

Cites Work

• Infinitely many solutions for a class of degenerate anisotropic elliptic problems with variable exponent
• On the variational principle
• Dual variational methods in critical point theory and applications
• Solutions for \(p(x)\)-Laplacian Dirichlet problems with singular coefficients
• Variable exponent Sobolev spaces with zero boundary values
• Beyond the Mountain Pass: Some Applications
• Infinitely many solutions of a symmetric Dirichlet problem

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