Journal of Inequalities and Applications
Volume 2007 (2007), Article ID 19349, 9 pages
Research Article

Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities

Qihu Zhang

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

Received 17 July 2007; Accepted 27 August 2007

Academic Editor: M. García-Huidobro

Copyright © 2007 Qihu Zhang. 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.


This paper investigates the p(x)-Laplacian equations with singular nonlinearities Δp(x)u=λ/uγ(x) in Ω, u(x)=0 on Ω, where Δp(x)u=div(|u|p(x)2u) is called p(x)-Laplacian. The existence of positive solutions is given, and the asymptotic behavior of solutions near boundary is discussed.