Boundary Value Problems
Volume 2006 (2006), Article ID 71534, 9 pages

Existence and nonexistence of positive solutions for quasilinear systems

Haiyan Wang

Department of Mathematical Sciences & Applied Computing, Arizona State University, Phoenix 85069-7100, AZ, USA

Received 14 October 2005; Revised 6 February 2006; Accepted 14 February 2006

Copyright © 2006 Haiyan Wang. 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.


The paper deals with the existence and nonexistence of positive solutions for a class of P-Laplacian systems. We investigate the effect of the size of the domain on the existence of positive solution for the problem in sublinear cases. We will use fixed point theorems in a cone.