Artículo
Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary
Autor/es | García Melián, Jorge José
Morales Rodrigo, Cristian Rossi Pérez, Julio Daniel Suárez Fernández, Antonio |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2008-07 |
Fecha de depósito | 2016-04-19 |
Publicado en |
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Resumen | In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions to the semilinear elliptic equation −∆u = λu − u p in Ω, with the nonlinear boundary condition ... In this paper we perform an extensive study of the existence, uniqueness (or multiplicity) and stability of nonnegative solutions to the semilinear elliptic equation −∆u = λu − u p in Ω, with the nonlinear boundary condition ∂u/∂ν = u r on ∂Ω. Here Ω is a smooth bounded domain of IRd with outward unit normal ν, λ is a real parameter and p, r > 0. We also give the precise behavior of solutions for large |λ| in the cases where they exist. The proofs are mainly based on bifurcation techniques, sub-supersolutions and variational methods. |
Agencias financiadoras | Ministerio de Ciencia y Tecnología (MCYT). España European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER) |
Identificador del proyecto | MTM2005-06480
BFM2003-06446 MTM2006-07932 ANPCyT PICT |
Cita | García Melián, J.J., Morales Rodrigo, C., Rossi Pérez, J.D. y Suárez Fernández, A. (2008). Nonnegative solutions to an elliptic problem with nonlinear absorption and a nonlinear incoming flux on the boundary. |
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