Artículo
Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders☆
Autor/es | Casado Díaz, Juan |
Departamento | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico |
Fecha de publicación | 2006-06-12 |
Fecha de depósito | 2022-11-03 |
Publicado en |
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Resumen | 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 ... 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. |
Cita | Casado Díaz, J. (2006). Exponential decay for the solutions of nonlinear elliptic systems posed in unbounded cylinders☆. Journal of mathematical analysis and applications, 328 (1), 151-169. https://doi.org/10.1016/j.jmaa.2006.04.094. |
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