A symmetry problem from probability
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- by Stephen J. Fromm and Patrick McDonald PDF
- Proc. Amer. Math. Soc. 125 (1997), 3293-3297 Request permission
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.References
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Additional Information
- Stephen J. Fromm
- Affiliation: Department of Mathematics, University of Wyoming, Laramie, Wyoming 82071
- Email: fromm@uwyo.edu
- Patrick McDonald
- Affiliation: Department of Mathematics, The Ohio State University, Columbus, Ohio 43210
- Address at time of publication: Department of Mathematics, New College, University of South Florida, Sarasota, Florida 34243
- Email: pmacdona@virtu.sar.usf.edu
- Received by editor(s): June 5, 1996
- Communicated by: Jeffrey Rauch
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 3293-3297
- MSC (1991): Primary 35J40, 60J65, 58G32
- DOI: https://doi.org/10.1090/S0002-9939-97-04162-2
- MathSciNet review: 1425121