Mountain pass and Ekeland's principle for eigenvalue problem with variable exponent†

DOI10.1080/17476930902999041zbMath1180.35199OpenAlexW2029248254MaRDI QIDQ3391824

K. Ben Ali, Khaled Kefi

Publication date: 13 August 2009

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476930902999041

zbMATH Keywords

weak solutionEkeland's variational principle\(p(x)\)-Laplace operatorMountain pass theoremgeneralized Sobolev spaces

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items

Variational analysis for an indefinite quasilinear problem with variable exponent ⋮ On eigenvalue problems for the \(p(x)\)-Laplacian ⋮ Solutions of the mean curvature equation with the Nehari manifold ⋮ Existence of a solution for a nonlocal elliptic system of \((p(x),q(x))\)-Kirchhoff type ⋮ Existence results for Steklov problem involving thep(x)-Laplace operator ⋮ 𝑝(𝑥)-Laplacian with indefinite weight ⋮ Existence of solution for an indefinite weight quasilinear problem with variable exponent

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