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Serrin’s Problem and Alexandrov’s Soap Bubble Theorem
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Serrin’s Problem and Alexandrov’s Soap Bubble Theorem
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Journal Article
Serrin’s Problem and Alexandrov’s Soap Bubble Theorem
2020
Overview
We consider Serrin’s overdetermined problem for the torsional rigidity, and Alexandrov’s Soap Bubble Theorem. We present new integral identities that show a strong analogy between the two problems and help to obtain better (in some cases optimal) quantitative estimates for the radially symmetric configuration. The estimates for the Soap Bubble Theorem benefit from those of Serrin’s problem.
Publisher
Indiana University Mathematics Department
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