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

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.

Detalhes bibliográficos
Autor principal: Aizicovici, Sergiu (author)
Outros Autores: Papageorgiou, Nikolaos (author), Staicu, Vasile (author)
Formato: article
Idioma:eng
Publicado em: 2022
Assuntos:
Variable exponent space
Extremal constant sign solutions
Nodal solutions
Truncation
Regularity theory
Maximum principle
Texto completo:http://hdl.handle.net/10773/35310
País:Portugal
Oai:oai:ria.ua.pt:10773/35310
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.

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