Journal of Inequalities and Applications 
Volume 2008 (2008), Article ID 621621, 18 pages
doi:10.1155/2008/621621
Research Article

The Method of Subsuper Solutions for Weighted p(r)-Laplacian Equation Boundary Value Problems

Qihu Zhang,1,2 Xiaopin Liu,2 and Zhimei Qiu2

 1Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan 450002, China
2School of Mathematics Science, Xuzhou Normal University, Xuzhou, Jiangsu 221116, China
Received 23 May 2008; Accepted 21 August 2008

Recommended by Marta Garcia-Huidobro

Abstract

This paper investigates the existence of solutions for weighted p(r)-Laplacian ordinary boundary value problems. Our method is based on Leray-Schauder degree. As an application, we give the existence of weak solutions for p(x)-Laplacian partial differential equations.