Existence of Solutions for a Class of Weighted -Laplacian System Multipoint Boundary Value Problems

Qihu Zhang; Zheimei Qiu; Xiaopin Liu

doi:10.1155/2008/791762

Research Article
Open Access

Existence of Solutions for a Class of Weighted -Laplacian System Multipoint Boundary Value Problems

Qihu Zhang^{1, 2, 3},
Zheimei Qiu²Email author and
Xiaopin Liu²

Journal of Inequalities and Applications20082008:791762

https://doi.org/10.1155/2008/791762

Received: 12 June 2008
Accepted: 22 October 2008
Published: 12 November 2008

Abstract

This paper investigates the existence of solutions for weighted -Laplacian system multipoint boundary value problems. When the nonlinearity term satisfies sub- growth condition or general growth condition, we give the existence of solutions via Leray-Schauder degree.

Keywords

Growth Condition
Nonlinearity Term
Full Article
General Growth
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Authors’ Affiliations

(1)

Department of Mathematics and Information Science, Zhengzhou University of Light Industry, Zhengzhou, Henan, 450002, China

(2)

School of Mathematical Science, Xuzhou Normal University, Xuzhou, Jiangsu, 221116, China

(3)

College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, Shaanxi, 710062, China

Copyright

This article is published under license to BioMed Central Ltd. 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.