Paper Title:

On an Elliptic Over-Determined Problem in Dimension Two

Author(s):

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

lragoub@yu.edu.sa

Abstract:

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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