| dc.contributor.author | Karuhanga, Martin | |
| dc.date.accessioned | 2021-05-04T11:54:21Z | |
| dc.date.available | 2021-05-04T11:54:21Z | |
| dc.date.issued | 2020-05-20 | |
| dc.identifier.citation | Karuhanga, M., & Shargorodsky, E. (2020). On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials. Journal of Mathematical Physics, 61(5), 051509. | en_US |
| dc.identifier.uri | http://ir.must.ac.ug/xmlui/handle/123456789/758 | |
| dc.description.abstract | We present upper estimates for the number of negative eigenvalues of two-dimensional Schrodinger operators with potentials generated by Ahlfors regular measures of arbitrary fractional dimension α ∈ (0, 2]. The estimates are given in terms of integrals of the potential with a logarithmic weight and of its L log L type Orlicz norms. In the case α = 1, our results are stronger than the known ones about Schrodinger operators with potentials supported by Lipschitz curves. | en_US |
| dc.language.iso | en_US | en_US |
| dc.publisher | Journal of Mathematical Physics | en_US |
| dc.subject | negative eigenvalues | en_US |
| dc.subject | two-dimensional Schrödinger operators | en_US |
| dc.subject | arbitrary | en_US |
| dc.subject | Lipschitz curves | en_US |
| dc.title | On negative eigenvalues of two-dimensional Schrödinger operators with singular potentials | en_US |
| dc.type | Article | en_US |
