|
|||||
|
|
Inequalities for the lowest magnetic Neumann eigenvalue |
|
| Authors: | Fournais S Helffer B |
| Institution: | 1.Aarhus University, Ny Munkegade 118, 8000, Aarhus C, Denmark ;2.LMJL, Université de Nantes and CNRS, 2 rue de la Houssinière, 44322, Nantes Cedex, France ; |
| Abstract: | We study the ground-state energy of the Neumann magnetic Laplacian on planar domains. For a constant magnetic field, we consider the question whether the disc maximizes this eigenvalue for fixed area. More generally, we discuss old and new bounds obtained on this problem. |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ | |