Published May 26, 2017
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On ground states for the L^2-critical boson star equation
- Creators
- Frank, Rupert L.
- Lenzmann, Enno
Abstract
We consider ground state solutions u ⩾ 0 for the L^2-critical boson star equation √−u − (|x|^(−1) ∗ |u|^2)u = −u in R^3. We prove analyticity and radial symmetry of u. In a previous version of this paper, we also stated uniqueness and nondegeneracy of ground states for the L^2-critical boson star equation in R^3, but the arguments given there contained a gap. However, we refer to our recent preprint [FraLe] in arXiv:1009.4042, where we prove a general uniqueness and nondegeneracy result for ground states of nonlinear equations with fractional Laplacians in d = 1 space dimension.
Additional Information
© 2010 by the authors. This paper may be reproduced, in its entirety, for non-commercial purposes. (Submitted on 14 Oct 2009 (v1), last revised 26 Oct 2010 (this version, v2) R. F. gratefully acknowledges support through DFG grant FR 2664/1-1 and NSF grant PHY 06 52854. E. L. is supported by a Steno fellowship of the Danish research council and NSF grant DMS-0702492.Attached Files
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Additional details
- Eprint ID
- 77810
- Resolver ID
- CaltechAUTHORS:20170526-101905288
- FR 2664/1-1
- Deutsche Forschungsgemeinschaft (DFG)
- PHY-0652854
- NSF
- Danish Research Council
- DMS-0702492
- NSF
- Created
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2017-05-26Created from EPrint's datestamp field
- Updated
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2023-06-02Created from EPrint's last_modified field