| Frank, R. L.; Laptev, A. (2019): BOUND ON THE NUMBER OF NEGATIVE EIGENVALUES OF TWO-DIMENSIONAL SCHRODINGER OPERATORS ON DOMAINS. In: St Petersburg Mathematical Journal, Vol. 30, No. 3: pp. 573-589 |
Full text not available from 'Open Access LMU'.
DOI: 10.1090/spmj/1559
Abstract
A fundamental result of Solomyak says that the number of negative eigenvalues of a Schriidinger 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.
| Item Type: | Journal article |
|---|---|
| Faculties: | Mathematics, Computer Science and Statistics > Mathematics |
| Subjects: | 500 Science > 510 Mathematics |
| ISSN: | 1061-0022 |
| Language: | English |
| ID Code: | 82408 |
| Deposited On: | 15. Dec 2021 15:01 |
| Last Modified: | 15. Dec 2021 15:01 |
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