Hemivariational inequalities with the potential crossing the first eigenvalue

DOI10.1017/S0004972700019857zbMath1127.35335OpenAlexW2133025383MaRDI QIDQ2777714

Sophia Th. Kyritsi, Nikolaos S. Papageorgiou

Publication date: 5 May 2002

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

Full work available at URL: https://doi.org/10.1017/s0004972700019857

zbMATH Keywords

hemivariational inequalitycritical point\(p\)-Laplacianmultivalued problem

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (4)

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 ⋮ Two nontrivial critical points for nonsmooth functionals via local linking and applications

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Boundary regularity for solutions of degenerate elliptic equations
• Eigenvalue problems for variational-hemivariational inequalities at resonance
• Existence results for perturbations of the p-Laplacian
• Multiple solutions for a class of eigenvalue problems in hemivariational inequalities
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