Publicação
Nonlinear Robin problems with locally defined reaction
| Resumo: | We consider a nonlinear Robin problem driven by a p− Laplacian. The reaction consistes of two terms. The first one is parametric and only locally defined, while the second one is (p − 1)- superlinear. Using cutt-off techniques together with critical point theory and critical groups, we show that for big values of the parameter λ > 0, the problem has at least three nontrivial solutions, all with sign information (positive, negative and nodal). In the semilinear case (p = 2), we produce a second nodal solution, for a total of four nontrivial solutions, all with sign information. |
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| Autores principais: | Aizicovici, Sergiu |
| Outros Autores: | Papageorgiou, Nikolaos S.; Staicu, Vasile |
| Assunto: | Cut-off function AR-condition Extremal constant sign solutions Regularity theory |
| Ano: | 2023 |
| 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 |
| Resumo: | We consider a nonlinear Robin problem driven by a p− Laplacian. The reaction consistes of two terms. The first one is parametric and only locally defined, while the second one is (p − 1)- superlinear. Using cutt-off techniques together with critical point theory and critical groups, we show that for big values of the parameter λ > 0, the problem has at least three nontrivial solutions, all with sign information (positive, negative and nodal). In the semilinear case (p = 2), we produce a second nodal solution, for a total of four nontrivial solutions, all with sign information. |
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