## Abstract and Applied Analysis

- Abstr. Appl. Anal.
- Volume 2012, Special Issue (2012), Article ID 539161, 13 pages.

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

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

#### 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.

#### Article information

**Source**

Abstr. Appl. Anal., Volume 2012, Special Issue (2012), Article ID 539161, 13 pages.

**Dates**

First available in Project Euclid: 5 April 2013

**Permanent link to this document**

https://projecteuclid.org/euclid.aaa/1365125156

**Digital Object Identifier**

doi:10.1155/2012/539161

**Mathematical Reviews number (MathSciNet)**

MR2903821

**Zentralblatt MATH identifier**

1237.76009

#### Citation

Li, Xiliu; Mu, Chunlai; Zhang, Qingna; Zhou, Shouming. Quenching for a Non-Newtonian Filtration Equation with a Singular Boundary Condition. Abstr. Appl. Anal. 2012, Special Issue (2012), Article ID 539161, 13 pages. doi:10.1155/2012/539161. https://projecteuclid.org/euclid.aaa/1365125156