Journal of Inequalities and Applications
Volume 2008 (2008), Article ID 279306, 8 pages
doi:10.1155/2008/279306
Research Article

Boundary Blow-Up Solutions to p(x)-Laplacian Equations with Exponential Nonlinearities

Qihu Zhang

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

Received 18 August 2007; Accepted 25 November 2007

Academic Editor: M. Garcia-Huidobro

Copyright © 2008 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.

Abstract

This paper investigates the p(x)-Laplacian equations with exponential nonlinearities −△p(x)u+ef(x,u)=0 in Ω, u(x)→+∞ as d(x,∂Ω)→0, where −△p(x)u=−div(|∇u|p(x)−2∇u) is called p(x)- Laplacian. The singularity of boundary blow-up solutions is discussed, and the existence of boundary blow-up solutions is given.