科研之友
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摘要
In a recent paper, Georgiev and Venkov establish first radial symmetry and then uniqueness of minimizers to a certain functional. In the present paper we prove first the uniqueness of possible positive minimizers by revealing a hidden convexity property of the underlying functional. Then symmetry follows from the simple observation that uniqueness fails if there is a nonradial minimizer, because it could be rotated and give rise to a second minimizer.
- 出版日期2012-10
