A symmetry problem

A. G. Ramm

Annales Polonici Mathematici (2007)

  • Volume: 92, Issue: 1, page 49-54
  • ISSN: 0066-2216

Abstract

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Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.

How to cite

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A. G. Ramm. "A symmetry problem." Annales Polonici Mathematici 92.1 (2007): 49-54. <http://eudml.org/doc/280623>.

@article{A2007,
abstract = {Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.},
author = {A. G. Ramm},
journal = {Annales Polonici Mathematici},
keywords = {Newtonian potential},
language = {eng},
number = {1},
pages = {49-54},
title = {A symmetry problem},
url = {http://eudml.org/doc/280623},
volume = {92},
year = {2007},
}

TY - JOUR
AU - A. G. Ramm
TI - A symmetry problem
JO - Annales Polonici Mathematici
PY - 2007
VL - 92
IS - 1
SP - 49
EP - 54
AB - Consider the Newtonian potential of a homogeneous bounded body D ⊂ ℝ³ with known constant density and connected complement. If this potential equals c/|x| in a neighborhood of infinity, where c>0 is a constant, then the body is a ball. This known result is now proved by a different simple method. The method can be applied to other problems.
LA - eng
KW - Newtonian potential
UR - http://eudml.org/doc/280623
ER -

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