Soap bubbles and convex cones: optimal quantitative rigidity
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Publication:6597543
DOI10.1090/tran/9207zbMATH Open1547.35468MaRDI QIDQ6597543
Publication date: 3 September 2024
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
symmetrystabilityconvex conesrigidityquantitative estimatesintegral identitiesSerrin's overdetermined problemAlexandrov's soap bubble theoremHeintze-Karcher's inequality
Boundary value problems for second-order elliptic equations (35J25) Stability in context of PDEs (35B35) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)
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Related Items (3)
Optimal quantitative stability for a Serrin-type problem in convex cones ⋮ A characterization of capillary spherical caps by a partially overdetermined problem in a half ball ⋮ Capillary hypersurfaces, Heintze-Karcher's inequality and Zermelo's navigation
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