International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 595429, 10 pages
http://dx.doi.org/10.1155/2012/595429
Research Article

Existence and Multiplicity of Solutions for Semipositone Problems Involving p-Laplacian

Department of Mathematics, Northwest Normal University, Lanzhou 730070, China

Received 22 March 2012; Accepted 19 April 2012

Academic Editor: Peter Takac

Copyright © 2012 Guowei Dai and Chunfeng Yang. 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.

Abstract

We prove existence and multiplicity of positive solutions for semipositone problems involving p-Laplacian in a bounded smooth domain of N under the cases of sublinear and superlinear nonlinearities term.