منابع مشابه
Symmetry Problem
A novel approach to an old symmetry problem is developed. A proof is given for the following symmetry problem, studied earlier: if ∆u = 1 in D ⊂ R3, u = 0 on S, the boundary of D, and uN = const on S, then S is a sphere. It is assumed that S is a Lipschitz surface homeomorphic to a sphere. This result has been proved in different ways by various authors. Our proof is based on a simple new idea....
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2012
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-2012-11400-5