Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities
| Autor: | Giorgio Poggesi, Rolando Magnanini |
|---|---|
| Rok vydání: | 2020 |
| Předmět: |
Soap bubble
General Mathematics 010102 general mathematics Mathematical analysis Mathematics::Analysis of PDEs 01 natural sciences Stability (probability) Symmetry (physics) Symmetric configuration Physics::Fluid Dynamics Overdetermined system Mathematics - Analysis of PDEs FOS: Mathematics Mathematics::Differential Geometry 0101 mathematics 35N25 53A10 35B35 (Primary) 35A23 (Secondary) Torsional rigidity Analysis of PDEs (math.AP) Mathematics |
| Zdroj: | Indiana University Mathematics Journal. 69:1181-1205 |
| ISSN: | 0022-2518 |
| DOI: | 10.1512/iumj.2020.69.7925 |
| Popis: | 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. 18 pages. Corrected typos; Remark 4.8 replaced by Theorem 4.8; introduction slightly modified, accordingly |
| Databáze: | OpenAIRE |
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