Quasilinear hemivariational inequalities with strong resonance at infinity.

DOI10.1016/J.NA.2003.09.011zbMath1035.35047OpenAlexW1973302837WikidataQ112251851 ScholiaQ112251851MaRDI QIDQ1427925

Nikolaos S. Papageorgiou, Michael E. Filippakis, Leszek Gasiński

Publication date: 14 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.2003.09.011

zbMATH Keywords

Hemivariational inequalityprincipal eigenvaluenonsmooth critical point theory\(p\)-LaplacianresonanceClarke subdifferentiallocally Lipschitz function

Mathematics Subject Classification ID

Variational inequalities (49J40) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)

Related Items (5)

Pairs of nontrivial smooth solutions for nonlinear Neumann problems ⋮ Existence and multiplicity results for quasilinear hemivariational inequalities at resonance ⋮ A new existence theorem on three critical points for locally Lipschitz functional and an application ⋮ EXISTENCE AND MULTIPLICITY OF NONTRIVIAL SOLUTIONS FOR DEGENERATE HEMIVARIATIONAL INEQUALITIES INVOLVING LERAY–LIONS TYPE OPERATOR WITH CRITICAL GROWTH ⋮ Existence of solutions for elliptic equations with discontinuous nonlinearities strong resonance at infinity

Cites Work

• Minimax principles for lower semicontinuous functions and applications to nonlinear boundary value problems
• Variational methods for non-differentiable functionals and their applications to partial differential equations
• On Ekeland's variational principle and a minimax theorem
• On the convergence of solutions of multivalued parabolic equations and applications
• On the eigenvalue problem for hemivariational inequalities: Existence and multiplicity of solutions
• An existence theorem for nonlinear hemivariational inequalities at resonance
• Solutions and multiple solutions for quasilinear hemivariational inequalities at resonance
• Hemivariational inequalities with the potential crossing the first eigenvalue
• Abstract critical point theorems and applications to some nonlinear problems with “strong” resonance at infinity
• Non-trivial solutions of elliptic equations at resonance
• Eigenvalue problems for variational-hemivariational inequalities at resonance
• Three solutions for a strongly resonant elliptic problem
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