Movement of centers with respect to various potentials

DOI10.1090/tran/6138zbMath1335.31005OpenAlexW1917266075MaRDI QIDQ3450271

Shigehiro Sakata

Publication date: 3 November 2015

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/tran/6138

zbMATH Keywords

Riesz potentialmoving plane methodNewton potentialAlexandrov's reflection principle

Mathematics Subject Classification ID

Potential theory on Riemannian manifolds and other spaces (31C12)

Related Items (4)

Every convex body has a unique illuminating center ⋮ Geometric estimation of a potential and cone conditions of a body ⋮ Movement of time-delayed hot spots in Euclidean space ⋮ Analytic characterization of equilateral triangles

Cites Work

• Renormalization of potentials and generalized centers
• Symmetry and related properties via the maximum principle
• On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
• Movement of hot spots over unbounded domains in \({\mathbb{R}}^ N\)
• Looking for selectors of star bodies
• Extremal problems for the central projection
• On heat conductors with a stationary hot spot
• A symmetry problem in potential theory
• Movement of hot spots in Riemannian manifolds
• The Heart of a Convex Body
• The location of the hot spot in a grounded convex conductor
• A round ball uniquely minimizes gravitational potential energy
• Potential theory

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