## Abstract and Applied Analysis

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

#### 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

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

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