On the number of Courant-sharp Dirichlet eigenvalues
Abstract
We consider arbitrary open sets in Euclidean space with finite Lebesgue measure, and obtain upper bounds for (i) the largest Courant-sharp Dirichlet eigenvalue of , (ii) the number of Courant-sharp Dirichlet eigenvalues of . This extends recent results of P. B\'erard and B. Helffer.
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