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Boundary Value Problems 
Volume 2006 (2006), Article ID 71534, 9 pages
doi:10.1155/BVP/2006/71534

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

Abstract

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.