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arXiv · 1903.04823

Nearly optimal stability for Serrin's problem and the Soap Bubble theorem

Rolando Magnanini·Giorgio Poggesi
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Abstract

We present new quantitative estimates for the radially symmetric configuration concerning Serrin's overdetermined problem for the torsional rigidity, Alexandrov's Soap Bubble Theorem, and other related problems. The new estimates improve on those obtained in two our previous articles, and are in some cases optimal.

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Rolando Magnanini, Giorgio Poggesi. 2019-03-12. Nearly optimal stability for Serrin's problem and the Soap Bubble theorem. https://arxiv.org/abs/1903.04823

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