Nonsmooth critical point theory on closed convex sets and nonlinear hemivariational inequali\-ties

DOI10.1016/j.na.2004.12.001zbMath1067.49005OpenAlexW2043016333MaRDI QIDQ1776944

Nikolaos S. Papageorgiou, Sophia Th. Kyritsi

Publication date: 12 May 2005

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.2004.12.001

zbMATH Keywords

hemivariational inequalitycritical pointpositive solution\(p\)-Laplacianlocally Lipschitz function

Mathematics Subject Classification ID

Variational inequalities (49J40) PDEs with multivalued right-hand sides (35R70) Variational methods for second-order elliptic equations (35J20)

Related Items

Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory ⋮ Solutions for a degenerate \(p(x)\)-Laplacian equation with a nonsmooth potential ⋮ 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 ⋮ Dirichlet problem with discontinuous nonlinearities super-linear or asymptotically linear at infinity ⋮ Origin and evolution of the Palais-Smale condition in critical point theory ⋮ Non-smooth critical point theory on closed convex sets ⋮ Three nontrivial solutions for Kirchhoff-type variational-hemivariational inequalities ⋮ Existence and multiplicity of solutions for a quasilinear elliptic inclusion with a nonsmooth potential ⋮ Two nontrivial critical points for nonsmooth functionals via local linking and applications ⋮ Multiple solutions for inequality Dirichlet problems by the \(p(x)\)-Laplacian ⋮ Unnamed Item ⋮ General comparison principle for variational-hemivariational inequalities ⋮ Existence and multiplicity of solutions for \(p(x)\)-Laplacian equation with nonsmooth potential ⋮ An obstacle problem for nonlinear hemivariational inequalities at resonance ⋮ Multiple solutions to elliptic inclusions via critical point theory on closed convex sets

Cites Work

• Variational methods for non-differentiable functionals and their applications to partial differential equations
• Maximal and minimal solutions of elliptic differential equations with discontinuous non-linearities
• The dual variational principle and elliptic problems with discontinuous nonlinearities
• A strong maximum principle for some quasilinear elliptic equations
• Linear and quasilinear elliptic equations
• An existence theorem for nonlinear hemivariational inequalities at resonance
• Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance
• Optimization and nonsmooth analysis
• Boundary regularity for solutions of degenerate elliptic equations
• Eigenvalue problems for variational-hemivariational inequalities at resonance
• Multiple solutions for a class of eigenvalue problems in hemivariational inequalities
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