Kawohl, Bernd and Kroemer, Stefan (2012). Uniqueness and symmetry of minimizers of Hartree type equations with external Coulomb potential. Adv. Calc. Var., 5 (4). S. 427 - 433. BERLIN: WALTER DE GRUYTER & CO. ISSN 1864-8258
Full text not available from this repository.Abstract
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.
| Item Type: | Journal Article | ||||||||||||
| Creators: |
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| URN: | urn:nbn:de:hbz:38-481303 | ||||||||||||
| DOI: | 10.1515/ACV.2011.020 | ||||||||||||
| Journal or Publication Title: | Adv. Calc. Var. | ||||||||||||
| Volume: | 5 | ||||||||||||
| Number: | 4 | ||||||||||||
| Page Range: | S. 427 - 433 | ||||||||||||
| Date: | 2012 | ||||||||||||
| Publisher: | WALTER DE GRUYTER & CO | ||||||||||||
| Place of Publication: | BERLIN | ||||||||||||
| ISSN: | 1864-8258 | ||||||||||||
| Language: | English | ||||||||||||
| Faculty: | Unspecified | ||||||||||||
| Divisions: | Unspecified | ||||||||||||
| Subjects: | no entry | ||||||||||||
| Uncontrolled Keywords: |
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| URI: | http://kups.ub.uni-koeln.de/id/eprint/48130 |
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