An existence theorem for nonlinear hemivariational inequalities at resonance

DOI10.1017/S0004972700019067zbMath0977.35054MaRDI QIDQ2716954

Leszek Gasiński, Nikolaos S. Papageorgiou

Publication date: 16 May 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

\(p\)-Laplaciannonsmooth mountain pass theoremCerami compactness condition

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational methods applied to PDEs (35A15)

Related Items

A minimax method for finding saddle points of upper semi-differentiable locally Lipschitz continuous functional in Banach space and its convergence ⋮ Quasilinear hemivariational inequalities with strong resonance at infinity. ⋮ Multiple solutions for nonlinear elliptic equations at resonance with a nonsmooth potential. ⋮ Existence and multiplicity results for quasilinear hemivariational inequalities at resonance ⋮ On the existence of positive solutions for hemivariational inequalities driven by the \(p\)-Laplacian ⋮ A multiplicity result for semilinear resonant elliptic problems with nonsmooth potential ⋮ Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequali\-ties ⋮ Multiplicity of nontrivial solutions for elliptic equations with nonsmooth potential and resonance at higher eigenvalues

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