Number of the records: 1
On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter
- 1.0557030 - ÚJF 2023 RIV US eng J - Journal Article
Kachmar, A. - Lotoreichik, Vladimir
On the Isoperimetric Inequality for the Magnetic Robin Laplacian with Negative Boundary Parameter.
Journal of Geometric Analysis. Roč. 32, č. 6 (2022), č. článku 182. ISSN 1050-6926. E-ISSN 1559-002X
R&D Projects: GA ČR(CZ) GA21-07129S
Institutional support: RVO:61389005
Keywords : Magnetic Robin Laplacian * Homogeneous magnetic field * Lowest eigenvalue * Isoperimetric inequality * Parallel coordinates * Centrally symmetric domain
OECD category: Pure mathematics
Impact factor: 1.1, year: 2022
Method of publishing: Limited access
https://doi.org/10.1007/s12220-022-00917-z
We consider the magnetic Robin Laplacian with a negative boundary parameter on a bounded, planar C-2-smooth domain. The respective magnetic field is homogeneous. Among a certain class of domains, we prove that the disk maximises the ground-state energy under the fixed perimeter constraint provided that the magnetic field is of moderate strength. This class of domains includes, in particular, all domains that are contained upon translations in the disk of the same perimeter and all centrally symmetric domains.
Permanent Link: http://hdl.handle.net/11104/0331138
Number of the records: 1