arXiv:1709.08939 Abstract | arXiv Analytics

arXiv:1709.08939 [math.AP]Abstract References Reviews Resources

Alexandrov, Serrin, Weinberger, Reilly: simmetry and stability by integral identities

Published 2017-09-26Version 1

The distinguished names in the title have to do with influential proofs of the celebrated Soap Bubble Theorem and of radial symmetry in certain overdetermined boundary value problems. We shall give an overeview of those results and indicate some of their ramifications. We will also show how more recent proofs uncover the path to some stability results for the relevant problems.

Comments: 14 pages; This is an expanded version of a talk given by the author at the Bruno Pini Mathematical Analysis Seminar in Bologna (Italy). It is mainly an overview of old and recent results. Theorem 7 and Section 11 seem to be new, though. Remarks and comments are welcome

Categories: math.AP

Subjects: 35N25, 53A10, 35B35, 35A23

Keywords: integral identities, alexandrov, weinberger, overdetermined boundary value problems, influential proofs

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