Journal of Inequalities and Applications 
Volume 2007 (2007), Article ID 65126, 4 pages
doi:10.1155/2007/65126
Research Article

Nonexistence of Positive Solution for Quasilinear Elliptic Problems in the Half-Space

Sebastián Lorca

 Instituto de Alta Investigación, Universidad de Tarapacá, Casilla 7-D, Arica 1000007, Chile
Received 16 October 2006; Accepted 9 February 2007

Recommended by Robert Gilbert

Abstract

Liouville-type results in ℝN or in the half-space ℝ+N might be important to obtain a priori estimates for positive solutions of associated problems in bounded domains via some procedure of blow up. In this work, we obtain a nonexistence result for the positive solution of up≤−Δmu≤Cup, in the half-space.