We present new quantitative estimates for spherical symmetry that concern 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 previous papers by the same authors and are in some cases optimal.

Nearly optimal stability for Serrin's problem and the Soap Bubble Theorem / Rolando Magnanini; Giorgio Poggesi. - In: CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS. - ISSN 0944-2669. - STAMPA. - 59:(2020), pp. 35.1-35.23. [10.1007/s00526-019-1689-7]

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

Rolando Magnanini;Giorgio Poggesi
2020

Abstract

We present new quantitative estimates for spherical symmetry that concern 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 previous papers by the same authors and are in some cases optimal.
2020
59
1
23
Rolando Magnanini; Giorgio Poggesi
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/1179775
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