Strong diamagnetism for general domains and application

Nous considerons le Laplacien de Neumann avec champ magnetique constant dans un domaine regulier de R 2 . Si B designe l'intensite de ce champ et si λ 1 (B) designe la premiere valeur propre de ce Laplacien, il est demontre que λ 1 est une fonction monotone croissante de B pour B grand. En combinant avec des resultats anterieurs des auteurs, ceci implique la coincidence de toutes les definitions raisonables du troisieme champ critique pour les materiaux supraconducteurs de type II.

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