A characteristic property of the ball

DOI10.17377/semi.2017.14.052zbMath1375.52003MaRDI QIDQ2403630

V. N. Stepanov

Publication date: 11 September 2017

Published in: Sibirskie Èlektronnye Matematicheskie Izvestiya (Search for Journal in Brave)

zbMATH Keywords

isoperimetric inequalityconvex bodyorthogonal projectionconstant widthsupport functionMonge-Ampére equationconstant brightness

Mathematics Subject Classification ID

Convex sets in (3) dimensions (including convex surfaces) (52A15) Monge-Ampère equations (35J96)

Cites Work

• \(\Phi\)-harmonic functions on discrete groups and the first \(\ell^\Phi\)-cohomology
• Rough isometries and the parabolicity of Riemannian manifolds
• \(p\)-harmonic functions on graphs and manifolds
• Multidimensional inverse and ill-posed problems for differential equations
• A new proof of Gromov’s theorem on groups of polynomial growth
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