Strong diamagnetism for general domains and applications
| dc.creator | Fournais, S. | |
| dc.creator | Helffer, B. | |
| dc.date | 2006-07-31 | |
| dc.date | 2007-02-15 | |
| dc.date.accessioned | 2026-07-07T07:46:49Z | |
| dc.date.available | 2026-07-07T07:46:49Z | |
| dc.description | We consider the Neumann Laplacian with constant magnetic field on a regular domain. Let $B$ be the strength of the magnetic field, and let $λ_1(B)$ be the first eigenvalue of the magnetic Neumann Laplacian on the domain. It is proved that $B \mapsto λ_1(B)$ is monotone increasing for large $B$. Combined with the results of \cite{FournaisHelffer3}, this implies that all the `third' critical fields for strongly Type II superconductors coincide. | |
| dc.description | A few typos corrected. One argument given in more details. Version to be published in AIF | |
| dc.identifier | https://arxiv.org/abs/math-ph/0607071 | |
| dc.identifier | http://arxiv.org/abs/math-ph/0607071 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/123955 | |
| dc.subject | Mathematical Physics | |
| dc.subject | Spectral Theory | |
| dc.title | Strong diamagnetism for general domains and applications | |
| dc.type | text |