Abstract and Applied Analysis
Volume 2012 (2012), Article ID 539161, 13 pages
http://dx.doi.org/10.1155/2012/539161
Research Article

Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition

Xiliu Li, Chunlai Mu, Qingna Zhang, and Shouming Zhou

College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received 2 December 2011; Accepted 10 January 2012

Academic Editor: Kanishka Perera

Copyright © 2012 Xiliu Li 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 deals with a nonlinear p-Laplacian equation with singular boundary conditions. Under proper conditions, the solution of this equation quenches in finite time and the only quenching point thatis x=1 are obtained. Moreover, the quenching rate of this equation is established. Finally, we give an example of an application of our results.