Thin domain limit and counterexamples to strong diamagnetism
نویسندگان
چکیده
منابع مشابه
Strong Diamagnetism for General Domains and Applications
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 superco...
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ژورنال
عنوان ژورنال: Reviews in Mathematical Physics
سال: 2020
ISSN: 0129-055X,1793-6659
DOI: 10.1142/s0129055x21500033