Strong Diamagnetism for General Domains and Applications
نویسنده
چکیده
We consider the Neumann Laplacian with constant magnetic field on a regular domain. Let B be the strength of the magnetic field, and let λ1(B) be the first eigenvalue of the magnetic Neumann Laplacian on the domain. It is proved that B 7→ λ1(B) is monotone increasing for large B. Combined with the results of [FoHe2], this implies that all the ‘third’ critical fields for strongly Type II superconductors coincide.
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