Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders☆
We study the asymptotic behavior at infinity of the solutions of a nonlinear elliptic system posed in a cylinder of infinite length. The problem is written in a variational formulation, where we ask the derivative of the solutions to be in Lp. We show that an exponential decay at infinity for the se...
| Autor: | |
|---|---|
| Formato: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2006 |
| País: | España |
| Recursos: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/138669 |
| Acesso em linha: | https://hdl.handle.net/11441/138669 https://doi.org/10.1016/j.jmaa.2006.04.094 |
| Access Level: | acceso abierto |
| Palavra-chave: | Nonlinear problems Elliptic systems Unbounded domains Exponential decay Boundary layers |
| Resumo: | We study the asymptotic behavior at infinity of the solutions of a nonlinear elliptic system posed in a cylinder of infinite length. The problem is written in a variational formulation, where we ask the derivative of the solutions to be in Lp. We show that an exponential decay at infinity for the second member implies exponential decay for the derivative of the solutions. We also give an application of this result to the study of boundary layers problems. |
|---|