Diamagnetic behavior of sums Dirichlet eigenvalues
نویسندگان
چکیده
منابع مشابه
Optimization of sums and quotients of Dirichlet-Laplacian eigenvalues
We study some shape optimization problems related to sums and quotients of Dirichlet Laplacian eigenvalues kn for planar domains. We show how to minimize a sum ðkk þ kkþ1ÞjXj; k 1⁄4 1;2; . . . when the minimizing domain is disconnected. In particular, we prove that the optimizers in the cases k 1⁄4 1 and k 1⁄4 2 are connected. We develop a numerical method for solving shape optimization eigenva...
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ژورنال
عنوان ژورنال: Annales de l’institut Fourier
سال: 2000
ISSN: 0373-0956
DOI: 10.5802/aif.1777