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

Published 12 Mar 2019 in math.AP | (1903.04823v3)

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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