Alexandrov, Serrin, Weinberger, Reilly: simmetry and stability by integral identities
Analysis of PDEs
2017-09-27 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1709.08939,
title = {Alexandrov, Serrin, Weinberger, Reilly: simmetry and stability by integral identities},
author = {Rolando Magnanini},
journal= {arXiv preprint arXiv:1709.08939},
year = {2017}
}
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