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Applicable Analysis
An International Journal
Volume 86, 2007 - Issue 9
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Original Articles

On the continuity of the free boundary in the problem Δpu = − (h(x, y)χ(u))x

Samia Challal King Fahd University of Petroleum and Minerals, P.O. Box 728, Dhahran 31261, Saudi Arabia
&
Abdeslem Lyaghfouri King Fahd University of Petroleum and Minerals, P.O. Box 728, Dhahran 31261, Saudi ArabiaCorrespondence[email protected]
Pages 1177-1184 | Received 22 Feb 2007, Accepted 08 Aug 2007, Published online: 04 Oct 2007
 
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Abstract

We consider a two-dimensional free boundary problem involving the p-Laplacian. We show that the free boundary is the graph x = φ(y) of a continuous function.

Acknowledgement

We are grateful for the facilities and financial support by KFUPM.

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