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arxiv: 1709.08939 · v1 · pith:WGED23HMnew · submitted 2017-09-26 · 🧮 math.AP

Alexandrov, Serrin, Weinberger, Reilly: simmetry and stability by integral identities

classification 🧮 math.AP
keywords problemsproofsresultssomestabilityalexandrovboundarybubble
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The distinguished names in the title have to do with influential 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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