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Multiple solutions with sign information for (p, 2)−equations with asymmetric resonant reaction

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Resumo:We consider a nonlinear nonhomogeneous Dirichlet problem driven by the sum of a p−Laplacian and a Laplacian (a (p, 2)− equation). The reaction is the sum of two competing terms, a parametric (p − 1)−sublinear term and an asymmetric (p − 1)−linear perturbation which is resonant at −∞. Using variational methods together with truncations and comparison techniques and Morse theory (critical groups), we prove two multiplicity theorems which provide sign information for all the solutions.
Autores principais:Aizicovici, Sergiu
Outros Autores:Papageorgiou, Nikolaos S.; Staicu, Vasile
Assunto:Resonance Constant sign and nodal solutions Nonlinear regularity Maximum principle Critical groups
Ano:2020
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

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