Publicação
Dirichlet problems with singular and superlinear terms
| Resumo: | We consider a parametric nonlinear Dirichlet problem driven by the p-Laplacian, with a singular term and a p-superlinear perturbation, which need not satisfy the usual Ambrosetti–Rabinowitz condition. Using variational methods together with truncation techniques, we prove a bifurcation-type theorem describing the behaviour of the set of positive solutions as the parameter varies. |
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| Autores principais: | Aizicovici, S. |
| Outros Autores: | Papageorgiou, N. S.; Staicu, V. |
| Assunto: | Singular term Superlinear term p-Laplacian Strong comparison principle Strong maximum principle Positive solutions Bifurcation-type theorem |
| Ano: | 2015 |
| 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 |
| Resumo: | We consider a parametric nonlinear Dirichlet problem driven by the p-Laplacian, with a singular term and a p-superlinear perturbation, which need not satisfy the usual Ambrosetti–Rabinowitz condition. Using variational methods together with truncation techniques, we prove a bifurcation-type theorem describing the behaviour of the set of positive solutions as the parameter varies. |
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