On an Elliptic Over-Determined Problem in Dimension Two
Department of Mathematics and Information of Tiyadhechnology
AL Yamamah University
P.O. Box 45 180, Riyadh 11 512
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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