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arXiv · 1403.1993

Extremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces

Bruno Colbois·Ahmad El Soufi
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Abstract

We investigate properties of the sequences of extremal values that could be achieved by the eigenvalues of the Laplacian on Euclidean domains of unit volume, under Dirichlet and Neumann boundary conditions, respectively. In a second part, we study sequences of extremal eigenvalues of the Laplace-Beltrami operator on closed surfaces of unit area.

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Bruno Colbois, Ahmad El Soufi. 2014-03-08. Extremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces. https://doi.org/10.1007/s00209-014-1325-3

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