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On the number of Courant-sharp Dirichlet eigenvalues
Published 26 Feb 2016 in math.SP and math.AP | (1602.08376v3)
Abstract: We consider arbitrary open sets $\Omega$ in Euclidean space with finite Lebesgue measure, and obtain upper bounds for (i) the largest Courant-sharp Dirichlet eigenvalue of $\Omega$, (ii) the number of Courant-sharp Dirichlet eigenvalues of $\Omega$. This extends recent results of P. B\'erard and B. Helffer.
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