Electronic Journal of Differential Equations,
Vol. 2011 (2011), No. 58, pp. 1-8.

Title: Multiplicity theorems for semipositone p-Laplacian problems
       
Author: Xudong Shang (Nanjing Normal Univ., Jiangsu, China)

Abstract:
 In this article, we study the existence of solutions for
 the semipositone p-Laplacian problems. Under a subliner
 behavior at infinity, using degree theoretic arguments based on
 the degree map for operators of type (S)_+, we prove
 the existence of at least two nontrivial solutions.

Submitted December 17, 2010. Published May 04, 2011.
Math Subject Classifications: 35J92, 35B05, 46T20.
Key Words: Weak solutions; operator of type (S)_+;
           Semipositone; p-Laplacian problems.