Abstract and Applied Analysis
Volume 2005 (2005), Issue 1, Pages 1-9

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

Received 1 March 2004

Copyright © 2005 Lamia Ben Chaabane. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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