Alexandrov, Serrin, Weinberger, Reilly: Simmetry and Stability by Integral Identities

Authors

  • Rolando Magnanini University of Florence

DOI:

https://doi.org/10.6092/issn.2240-2829/7800

Keywords:

Serrin's overdetermined problem, Alexandrov Soap Bubble Theorem, torsional rigidity, constant mean curvature, integral identities, quadrature identities, stability, quantitative estimates

Abstract

The distinguished names in the title have to do with different 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.

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Published

2018-05-31

How to Cite

Magnanini, R. (2017). Alexandrov, Serrin, Weinberger, Reilly: Simmetry and Stability by Integral Identities. Bruno Pini Mathematical Analysis Seminar, 8(1), 121–141. https://doi.org/10.6092/issn.2240-2829/7800

Issue

Seminars 2017

Section

Articles

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Copyright (c) 2017 Rolando Magnanini

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