Open Access

Existence and Asymptotic Behavior of Positive Solutions to -Laplacian Equations with Singular Nonlinearities

Journal of Inequalities and Applications20072007:019349

DOI: 10.1155/2007/19349

Received: 17 July 2007

Accepted: 27 August 2007

Published: 16 October 2007

Abstract

This paper investigates the -Laplacian equations with singular nonlinearities in , on , where is called -Laplacian. The existence of positive solutions is given, and the asymptotic behavior of solutions near boundary is discussed.

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Authors’ Affiliations

(1)
Department of Mathematics and Information Science, Zhengzhou University of Light Industry

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Copyright

© Qihu Zhang 2007

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.