Abstract and Applied Analysis

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

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

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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


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