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

Authors: Challal, Samia; Lyaghfouri, Abdeslem

Source: Applicable Analysis, Volume 86, Number 9, September 2007 , pp. 1177-1184(8)

Publisher: Taylor and Francis Ltd

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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.

Keywords: AMS 2000 Mathematics Subject Classification: 35R35; 35J60

Document Type: Research article

DOI: http://dx.doi.org/10.1080/00036810701620601

Affiliations: 1: King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Publication date: 2007-09-01

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