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.