A rigidity problem on the round sphere

DOI10.1142/S0219199717500018zbMath1370.35260arXiv1512.07749MaRDI QIDQ5354382

Luigi Vezzoni, Giulio Ciraolo

Publication date: 1 September 2017

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.07749

zbMATH Keywords

rigidityoverdetermined PDErotationally symmetric spaces

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Rigidity results (53C24) PDEs on manifolds (35R01) Overdetermined boundary value problems for PDEs and systems of PDEs (35N25)

Related Items (6)

A Serrin-type symmetry result on model manifolds: an extension of the Weinberger argument ⋮ On Serrin's overdetermined problem in space forms ⋮ Overdetermined problems in annular domains with a spherical-boundary component in space forms ⋮ Radial symmetry and partially overdetermined problems in a convex cone ⋮ Overdetermined problems for fully nonlinear equations with constant Dirichlet boundary conditions in space forms ⋮ Wulff shape characterizations in overdetermined anisotropic elliptic problems

Cites Work

• Unnamed Item
• Serrin-type overdetermined problems: An alternative proof
• Radial symmetry for an electrostatic, a capillarity and some fully nonlinear overdetermined problems on exterior domains
• Serrin's result for hyperbolic space and sphere
• Remarks on an overdetermined boundary value problem
• Overdetermined problems with possibly degenerate ellipticity, a geometric approach
• A symmetry problem in potential theory
• Remark on the preceding paper of Serrin
• Symmetry and Overdetermined Boundary Value Problems
• A Symmetry Result Related to Some Overdetermined Boundary Value Problems

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