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.
@article{10_4064_ap96_1_5,
author = {N. S. Hoang and A. G. Ramm},
title = {Symmetry problems 2},
journal = {Annales Polonici Mathematici},
pages = {61--64},
year = {2009},
volume = {96},
number = {1},
doi = {10.4064/ap96-1-5},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/ap96-1-5/}
}
TY - JOUR
AU - N. S. Hoang
AU - A. G. Ramm
TI - Symmetry problems 2
JO - Annales Polonici Mathematici
PY - 2009
SP - 61
EP - 64
VL - 96
IS - 1
UR - http://geodesic.mathdoc.fr/articles/10.4064/ap96-1-5/
DO - 10.4064/ap96-1-5
LA - en
ID - 10_4064_ap96_1_5
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%J Annales Polonici Mathematici
%D 2009
%P 61-64
%V 96
%N 1
%U http://geodesic.mathdoc.fr/articles/10.4064/ap96-1-5/
%R 10.4064/ap96-1-5
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N. S. Hoang; A. G. Ramm. Symmetry problems 2. Annales Polonici Mathematici, Tome 96 (2009) no. 1, pp. 61-64. doi: 10.4064/ap96-1-5
