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Infinitely many nodal solutions for anisotropic (p, q)-equations

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Detalhes bibliográficos
Resumo:We consider an anisotropic (p.q)-Neumann problem with an indefinite potential term and a reaction which is only locally defined and odd. Using a variant of the symmetric mountain pass theorem, we show that the problem has a whole sequence of smooth nodal solutions which converge to zero in C1Ω.
Autores principais:Aizicovici, Sergiu
Outros Autores:Papageorgiou, Nikolaos; Staicu, Vasile
Assunto:Variable exponent space Extremal constant sign solutions Nodal solutions Truncation Regularity theory Maximum principle
Ano:2022
País:Portugal
Tipo de documento:artigo
Tipo de acesso:acesso aberto
Instituição associada:Universidade de Aveiro
Idioma:inglês
Origem:RIA - Repositório Institucional da Universidade de Aveiro
Descrição
Resumo:We consider an anisotropic (p.q)-Neumann problem with an indefinite potential term and a reaction which is only locally defined and odd. Using a variant of the symmetric mountain pass theorem, we show that the problem has a whole sequence of smooth nodal solutions which converge to zero in C1Ω.