Abstract and Applied Analysis
Volume 2005 (2005), Issue 1, Pages 1-9
doi:10.1155/AAA.2005.1

On the extremal solutions of semilinear elliptic problems

Lamia Ben Chaabane

Département de Math ematiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, Tunisia

Abstract

We investigate here the properties of extremal solutions for semilinear elliptic equation −Δu=λf(u) posed on a bounded smooth domain of ℝn with Dirichlet boundary condition and with f exploding at a finite positive value a.