Three nontrivial solutions for a quasilinear elliptic differential equation at resonance with discontinuous right hand side

DOI10.1006/jmaa.1999.6526zbMath0932.35093OpenAlexW2058709754WikidataQ115395380 ScholiaQ115395380MaRDI QIDQ1125306

Nikolaos S. Papageorgiou, Nikolaos C. Kourogenis

Publication date: 8 March 2000

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://ynu.repo.nii.ac.jp/?action=repository_uri&item_id=6939

zbMATH Keywords

local minimumcritical point\(p\)-LaplacianEkeland variational principlenonsmooth Palais-Smale conditionlocally Lipschitz functiongeneralized subdifferentialnonsmooth mountain pass theoremcoercive functional

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Variational methods applied to PDEs (35A15) Fixed-point theorems (47H10) PDEs with low regular coefficients and/or low regular data (35R05)

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The application of the nonsmooth critical point theory to the stationary electrorheological fluids, On the existence of three nontrivial solutions of a resonance elliptic boundary value problem with a discontinuous nonlinearity, An eigenvalue Dirichlet problem involving the \(p\)-Laplacian with discontinuous nonlinearities, Strongly nonlinear multivalued elliptic equations on a bounded domain, Nonsmooth critical point theory and nonlinear elliptic equations at resonance

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