The Method of Subsuper Solutions for Weighted <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:mi>p</mml:mi><mml:mrow><mml:mo>(</mml:mo><mml:mi>r</mml:mi><mml:mo>)</mml:mo></mml:mrow></mml:mrow></mml:math>-Laplacian Equation Boundary Value Problems

Zhang, Qihu; Liu, Xiaopin; Qiu, Zhimei

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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

Academic Editor: Marta Garcia-Huidobro

Copyright © 2008 Qihu Zhang et al. 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

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.