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A symmetry problem from probability |
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| Authors: | Stephen J. Fromm Patrick McDonald |
| Affiliation: | Department of Mathematics, University of Wyoming, Laramie, Wyoming 82071 ; Department of Mathematics, The Ohio State University, Columbus, Ohio 43210 |
| Abstract: | We examine solutions of two related boundary value problems for smooth domains in Euclidean space which arise from variational problems in probability. We show that the existence of solutions to each problem implies that the domain is a sphere. |
| Keywords: | Poisson problem overdetermined boundary value problem |
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