An obstacle problem for nonlinear hemivariational inequalities at resonance

DOI10.1016/S0022-247X(02)00443-2zbMath1022.49015MaRDI QIDQ1856981

Nikolaos S. Papageorgiou, Sophia Th. Kyritsi

Publication date: 11 February 2003

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

zbMATH Keywords

Sobolev spacehemivariational inequalitylocally Lipschitz functionalsnonsmooth critical point theoryobstacle problem

Mathematics Subject Classification ID

Variational inequalities (49J40)

Related Items (8)

A critical point theorem for a class of non-differentiable functionals with applications ⋮ Existence results for obstacle problems for nonlinear hemivariational inequality at resonance ⋮ Three critical points for perturbed nonsmooth functionals and applications ⋮ Analysis of an elastic–rigid obstacle problem described by a variational–hemivariational inequality ⋮ Non-smooth critical point theory on closed convex sets ⋮ Three solutions for an obstacle problem for a class of variational-hemivariational inequalities ⋮ Solvability of nonlinear variational-hemivariational inequalities ⋮ Multiple solutions to elliptic inclusions via critical point theory on closed convex sets

Cites Work

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• Existence of positive solutions of variational inequalities by a subsolution-supersolution approach
• A strong maximum principle for some quasilinear elliptic equations
• On the Equation div( | ∇u | p-2 ∇u) + λ | u | p-2 u = 0
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