Multiple solutions for the p-laplace equation with nonlinear boundary conditions
In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas S...
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | Argentina |
| Institución: | Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales |
| Repositorio: | Biblioteca Digital (UBA-FCEN) |
| Idioma: | inglés |
| OAI Identifier: | paperaa:paper_10726691_v2006_n_p1_Bonder |
| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10726691_v2006_n_p1_Bonder |
| Access Level: | acceso abierto |
| Palabra clave: | Nonlinear boundary conditions p-laplace equations Variational methods |
| Sumario: | In this note, we show the existence of at least three nontrivial solutions to the quasilinear elliptic equation -Δpu + |u|p-2u = f(x,u) in a smooth bounded domain Ω of Rdbl;N with nonlinear boundary conditions |Δu|p-2;∂u/∂v = g(x, u) on ∂Ω. The proof is based on variational arguments. © 2006 Texas State University - San Marcos. |
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