Multiple solutions for nonlinear elliptic equations at resonance with a nonsmooth potential.

DOI10.1016/j.na.2003.11.011zbMath1086.35050OpenAlexW2042890004MaRDI QIDQ1428636

Nikolaos S. Papageorgiou, Motreanu, Dumitru

Publication date: 29 March 2004

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2003.11.011

zbMATH Keywords

principal eigenvalue\(p\)-LaplacianEkeland variational principlenonsmooth Palais-Smale conditionClarke subdifferentialnonsmooth mountain pass theoremnonlinear regularityresonant problem

Mathematics Subject Classification ID

PDEs with multivalued right-hand sides (35R70) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items

Discontinuous elliptic problems involving the p(x)‐Laplacian ⋮ Local \(C^1(\overline{\Omega})\)-minimizers versus local \(W^{1,p}(\Omega )\)-minimizers of nonsmooth functionals ⋮ A multiplicity theorem for problems with the \(p\)-Laplacian ⋮ Multiple solutions for a class of nonlinear elliptic problems with a \(p\)-Laplacian type operator ⋮ A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential ⋮ Positive solutions and multiple solutions at non-resonance, resonance and near resonance for hemivariational inequalities with 𝑝-Laplacian ⋮ Positive solutions for nonlinear periodic problems ⋮ Positive solutions for nonlinear hemivariational inequalities

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