Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 65126, 4 pages
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

Academic Editor: Robert Gilbert

Copyright © 2007 Sebastián Lorca. 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.


Liouville-type results in N or in the half-space +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 upΔmuCup, in the half-space.