On the superlinear Steklov problem involving the p(x)-Laplacian

DOI10.14232/ejqtde.2014.1.38zbMath1324.35046OpenAlexW426966069MaRDI QIDQ5250991

Abdesslem Ayoujil

Publication date: 22 May 2015

Published in: Electronic Journal of Qualitative Theory of Differential Equations (Search for Journal in Brave)

Full work available at URL: http://www.math.u-szeged.hu/ejqtde/p2730.pdf

zbMATH Keywords

variational methodCerami conditionnonstandard growth conditionsgeneralized Sobolev spaces

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Critical points of functionals in context of PDEs (e.g., energy functionals) (35B38) Quasilinear elliptic equations with (p)-Laplacian (35J92) Nonlinear boundary value problems for nonlinear elliptic equations (35J66)

Related Items (6)

Nonhomogeneous Dirichlet problems without the Ambrosetti-Rabinowitz condition ⋮ Existence and multiplicity of solutions for some Styklov problem involving p(x)-Laplacian operator ⋮ Infinite solutions having a prescribed number of nodes for a Schrödinger problem ⋮ Existence and multiplicity of solutions for some Steklov problem involving (p₁(x), p₂(x))-Laplacian operator ⋮ Multiplicity results for Steklov problem with variable exponent ⋮ On a Robin type problem involving \(p(x)\)-Laplacian operator

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