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Applicable Analysis
An International Journal
Volume 85, 2006 - Issue 5
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Original Articles

On the nonexistence of positive solutions to nonlinear degenerate parabolic equations with singular coefficients

Ismail Kombe Mathematics Department, Dawson-Loeffler Science & Mathematics Bldg, Oklahoma City University, 2501 N. Blackwelder, Oklahoma City, OK 73106-1493, USACorrespondence[email protected]
Pages 467-478 | Received 07 Oct 2005, Published online: 04 Sep 2006
 
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Abstract

In this paper, we shall investigate the nonexistence of positive solutions for the following nonlinear parabolic partial differential equations:

Here, Ω is a Carnot–Carathéodory metric ball in and . The critical exponent m∗ is found, and the nonexistence results are proved for m∗≤ m<1.

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