Symmetry problems 2

Volume 96 / 2009

N. S. Hoang, A. G. Ramm Annales Polonici Mathematici 96 (2009), 61-64 MSC: 35J05, 31B20. DOI: 10.4064/ap96-1-5

Abstract

Some symmetry problems are formulated and solved. New simple proofs are given for some symmetry problems studied earlier. One of the results is as follows: if a single-layer potential of a surface, homeomorphic to a sphere, with a constant charge density, is equal to $c/|x|$ for all sufficiently large $|x|$, where $c>0$ is a constant, then the surface is a sphere.

Authors

  • N. S. HoangMathematics Department
    Kansas State University
    Manhattan, KS 66506-2602, U.S.A.
    e-mail
  • A. G. RammMathematics Department
    Kansas State University
    Manhattan, KS 66506-2602, U.S.A.
    e-mail

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