Alexandrov, Serrin, Weinberger, Reilly: Simmetry and Stability by Integral Identities

DOI10.6092/issn.2240-2829/7800zbMath1444.35009arXiv1709.08939OpenAlexW2964237071MaRDI QIDQ5214983

Rolando Magnanini

Publication date: 5 February 2020

Full work available at URL: https://arxiv.org/abs/1709.08939

zbMATH Keywords

constant mean curvaturetorsional rigidityquantitative estimatesintegral identitiesAlexandrov soap bubble theoremSerrin's overdetermined problemquadrature identities

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Symmetries, invariants, etc. in context of PDEs (35B06) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (15)

Quantitative stability estimates for a two-phase Serrin-type overdetermined problem ⋮ Overdetermined problems for p-Laplace and generalized Monge–Ampére equations ⋮ Nearly optimal stability for Serrin's problem and the soap bubble theorem ⋮ On Serrin's overdetermined problem in space forms ⋮ Wulff shape symmetry of solutions to overdetermined problems for Finsler Monge-Ampère equations ⋮ Quantitative symmetry in a mixed Serrin-type problem for a constrained torsional rigidity ⋮ Interpolating estimates with applications to some quantitative symmetry results ⋮ Symmetry results for Serrin-type problems in doubly connected domains ⋮ On the mean value property of fractional harmonic functions ⋮ A sharp stability result for the Gauss mean value formula ⋮ An Interpolating Inequality for Solutions of Uniformly Elliptic Equations ⋮ A Serrin-type problem with partial knowledge of the domain ⋮ A partially overdetermined problem in a half ball ⋮ Quantitative stability for hypersurfaces with almost constant curvature in space forms ⋮ Radial symmetry forp-harmonic functions in exterior and punctured domains

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