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Strong diamagnetism for general domains and applications

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  • Institut for Matematiske Fag
  • Teoretisk naturvidenskab
We consider the Neumann Laplacian with constant magnetic field on a regular domain. Let $B$ be the strength of the magnetic field, and let $\lambda_1(B)$ be the first eigenvalue of the magnetic Neumann Laplacian on the domain. It is proved that $B \mapsto \lambda_1(B)$ 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.
OriginalsprogEngelsk
TidsskriftAnnales de l'Institut Fourier
Vol/bind57
Nummer7
Sider (fra-til)2389-2400
Antal sider12
ISSN0373-0956
StatusUdgivet - 2007

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