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On The Attainable Eigenvalues of the Laplace Operator

Dorin Bucur, Giuseppe Buttazzo, Isabel Figueiredo

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Source: Crossref

Published: Jan 1, 1999

DOI: 10.1137/s0036141097329135

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Source abstract

We consider the subset E of $\RR^2$ of all points whose first and second components, respectively, coincide with the first and second eigenvalues of the Laplace operator Δ-\Delta with zero boundary conditions on domains of $\RR^N$ with prescribed measure. We show that the set E is closed in $\RR^2$.

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