Existence of a nontrival solution for Dirichlet problem involving p(x)-Laplacian

DOI10.7151/DMDICO.1154zbMath1331.35349arXiv1212.4482OpenAlexW2963662468MaRDI QIDQ2951134

Sylwia Barnaś

Publication date: 9 October 2015

Published in: Discussiones Mathematicae. Differential Inclusions, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1212.4482

zbMATH Keywords

Sobolev spacemountain pass theoremhemivariational inequalityvariable exponent\(p(x)\)-LaplacianCerami condition

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Variational methods applied to PDEs (35A15) PDEs in connection with biology, chemistry and other natural sciences (35Q92) Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20)

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