Geodesic
A symmetry problem
A. G. Ramm1
1Mathematics Department Kansas State University Manhattan, KS 66506-2602, U.S.A.
Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 49-54
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Consider the Newtonian potential of a homogeneous bounded body $D\subset \mathbb R^3$ 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.
DOI : 10.4064/ap92-1-5
Keywords: consider newtonian potential homogeneous bounded body subset mathbb known constant density connected complement potential equals neighborhood infinity where constant body ball known result proved different simple method method applied other problems

A. G. Ramm  1

1 Mathematics Department Kansas State University Manhattan, KS 66506-2602, U.S.A. 
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A. G. Ramm. A symmetry problem. Annales Polonici Mathematici, Tome 92 (2007) no. 1, pp. 49-54. doi: 10.4064/ap92-1-5

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