Multiple solutions for resonant hemivariational inequalities via minimax methods

Sophia Th Kyritsi; Donal O. Regan; Nikolaos S. Papageorgiou

doi:10.1515/ans-2009-0302

Multiple solutions for resonant hemivariational inequalities via minimax methods

Sophia Th Kyritsi
, Donal O. Regan
, Nikolaos S. Papageorgiou

Hellenic Naval Academy
University of Galway
National Technical University of Athens (NTUA)

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

2 Citations (Scopus)

Abstract

deformation theorem, local minimizer In this paper we consider nonlinear Dirichlet problems driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequalities). We assume that the problem is resonant at infinity with respect to λ₁ > 0 (the principal eigenvalue of the Dirichlet p-Lapalcian) from the right. Using minimax methods based on the nonsmooth critical point theory we prove an existence and a multiplicity theorem.

Original language	English
Pages (from-to)	453-477
Number of pages	25
Journal	Advanced Nonlinear Studies
Volume	9
Issue number	3
DOIs	https://doi.org/10.1515/ans-2009-0302
Publication status	Published - Aug 2009
Externally published	Yes

Keywords

Linking sets
Nonsmooth potential
Resonance
Second

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abstract = "deformation theorem, local minimizer In this paper we consider nonlinear Dirichlet problems driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequalities). We assume that the problem is resonant at infinity with respect to λ1 > 0 (the principal eigenvalue of the Dirichlet p-Lapalcian) from the right. Using minimax methods based on the nonsmooth critical point theory we prove an existence and a multiplicity theorem.",

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N2 - deformation theorem, local minimizer In this paper we consider nonlinear Dirichlet problems driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequalities). We assume that the problem is resonant at infinity with respect to λ1 > 0 (the principal eigenvalue of the Dirichlet p-Lapalcian) from the right. Using minimax methods based on the nonsmooth critical point theory we prove an existence and a multiplicity theorem.

AB - deformation theorem, local minimizer In this paper we consider nonlinear Dirichlet problems driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequalities). We assume that the problem is resonant at infinity with respect to λ1 > 0 (the principal eigenvalue of the Dirichlet p-Lapalcian) from the right. Using minimax methods based on the nonsmooth critical point theory we prove an existence and a multiplicity theorem.

KW - Linking sets

KW - Nonsmooth potential

KW - Resonance

KW - Second

UR - https://www.scopus.com/pages/publications/77955789550

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JF - Advanced Nonlinear Studies

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ER -

Multiple solutions for resonant hemivariational inequalities via minimax methods

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Keywords

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