Published April 12, 2019
| Submitted
Journal Article
Open
Bound on the number of negative eigenvalues of two-dimensional Schrödinger operators on domains
- Creators
-
Frank, R. L.
- Laptev, A.
Abstract
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schrödinger operator on a two-dimensional domain is bounded from above by a constant times a certain Orlicz norm of the potential. Here it is shown that in the case of Dirichlet boundary conditions the constant in this bound can be chosen independently of the domain.
Additional Information
© 2019 American Mathematical Society. Received 8 Dec. 2017. Article electronically published on April 12, 2019. Partially supported by the U.S. National Science Foundation through grant DMS-1363432 (R.L.F.) and by a grant of the Russian Federation Government under the supervision of a leading scientist at the Siberian Federal University, grant no. 14.Y26.31.0006 (A.L.). The authors are grateful to Timo Weidl for extensive discussions related to this material and to Grigori Rozenblum for many helpful remarks on the manuscript.Attached Files
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Additional details
- Eprint ID
- 86786
- DOI
- 10.1090/spmj/1559
- Resolver ID
- CaltechAUTHORS:20180604-111721567
- DMS-1363432
- NSF
- Russian Federation
- 14.Y26.31.0006
- Siberian Federal University
- Created
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2018-06-04Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field