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Electrostatic characterization of spheres

  • Wolfgang Reichel (Universität Basel)
G3 10 (Lecture hall)

Abstract

Among all surfaces of convex bodies the sphere is shown to be unique with respect to the property that, in the absence of exterior fields, electric charges distribute homogeneously on the surface. The proof involves maximum principles, the isoperimetric inequality and convex analysis.

seminar
30.05.24

Oberseminar Analysis

MPI für Mathematik in den Naturwissenschaften Leipzig (Leipzig) E2 10 (Leon-Lichtenstein) E1 05 (Leibniz-Saal)
Universität Leipzig (Leipzig) Augusteum - A314

Anne Dornfeld

MPI for Mathematics in the Sciences Contact via Mail

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