International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 80605, 11 pages
Existence of blowup solutions for nonlinear problems with a gradient term
Département des Mathématiques, Faculté des Sciences de Tunis, Campus Universitaire, Tunis 2092, Tunisia
Received 29 July 2005; Revised 7 March 2006; Accepted 25 April 2006
Copyright © 2006 Faten Toumi. 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 prove the existence of positive explosive solutions for the
equation in the whole space , where is a continuous function and is
required to satisfy some hypotheses detailed below. More
precisely, we will give a necessary and sufficient condition for
the existence of a positive solution that blows up at infinity.