Existence of nontrivial solutions for equations of \(p(x)\)-Laplace type without Ambrosetti and Rabinowitz condition
DOI10.3934/proc.2015.0276zbMath1342.35119OpenAlexW2333381363MaRDI QIDQ260771
Publication date: 22 March 2016
Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/proc.2015.0276
weak solutionmountain pass theoremnonlinear boundary conditions\(p(x)\)-Laplace typevariable exponent Sobolev spaces
Nonlinear elliptic equations (35J60) Weak solutions to PDEs (35D30) Variational methods for second-order elliptic equations (35J20) 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)
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