Nonlinear elliptic equations with Hardy potential and lower order term with natural growth
In this work we analyze the interaction between the Hardy potential and a lower order term to obtain the existence or nonexistence of a positive solution in elliptic problems whose model is {-Δpu=g(u)| ∇u| p+λ up-1/|x|p +f,in Ω,u>0,in Ω,u=0,on ∂Ω, where ΩℝN, N≥3, is a bounded domain containing th...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2011 |
| País: | España |
| Institución: | Universidad Nacional de Educación a Distancia |
| Repositorio: | e-spacio. Repositorio Institucional de la UNED |
| Idioma: | inglés |
| OAI Identifier: | oai:e-spacio.uned.es:20.500.14468/24474 |
| Acceso en línea: | https://hdl.handle.net/20.500.14468/24474 |
| Access Level: | acceso abierto |
| Palabra clave: | 12 Matemáticas Existence and summability hardy potential lower order term nonlinear elliptic equations |
| Sumario: | In this work we analyze the interaction between the Hardy potential and a lower order term to obtain the existence or nonexistence of a positive solution in elliptic problems whose model is {-Δpu=g(u)| ∇u| p+λ up-1/|x|p +f,in Ω,u>0,in Ω,u=0,on ∂Ω, where ΩℝN, N≥3, is a bounded domain containing the origin, 1<p<N and Δp is the p-Laplacian. Concretely, we study under which range of values of the parameter λ>0, the behavior of the positive continuous function g at infinity provides the existence of a solution for such a problem. |
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