The Australian Journal of Mathematical Analysis and Applications

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ISSN 1449-5910  


Paper Information

Paper Title:

On an Elliptic Over-Determined Problem in Dimension Two


Lakhdar Ragoub
Department of Mathematics and Information of Tiyadhechnology
AL Yamamah University
P.O. Box 45 180, Riyadh 11 512
Saudi Arabia.



We extend the method of Weinberger for a non-linear over-determined elliptic problem
in R2. We prove that the domain in consideration is a ball. The tool of this investigation are maximum principles and P-functions.

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