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Three nontrivial solutions for the p-Laplacian with a nonsmooth potential

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Detalhes bibliográficos
Resumo:We consider a nonlinear elliptic problem driven by the partial p-Laplacian and with a nonsmooth potential (hemivariational inequality). Using variational techniques based on nonsmooth analysis and degree theoretic arguments for operators of the monotone type, we establish the existence of at least three distinct nontrivial smooth solutions.
Autores principais:Papageorgiou, Nikolaos
Outros Autores:Santos, Sandrina Rafaela; Staicu, Vasile
Assunto:Constant sign solution Nonsmooth potential (S)+-operator Generalized subdifferential p-Laplacian Degree theory
Ano:2008
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso restrito
Instituição associada:Universidade de Aveiro
Idioma:inglês
Origem:RIA - Repositório Institucional da Universidade de Aveiro
Descrição
Resumo:We consider a nonlinear elliptic problem driven by the partial p-Laplacian and with a nonsmooth potential (hemivariational inequality). Using variational techniques based on nonsmooth analysis and degree theoretic arguments for operators of the monotone type, we establish the existence of at least three distinct nontrivial smooth solutions.