Extremal eigenvalues of the Laplacian on Euclidean domains and closed surfaces |
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| Authors: | Bruno Colbois Ahmad El Soufi |
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| Institution: | 1. Laboratoire de Mathématiques, Université de Neuchatel, 13 rue E. Argand, 2007?, Neuchatel, Switzerland
2. Laboratoire de Mathématiques et Physique Théorique, UMR-CNRS 7350, Université de Tours, Parc de Grandmont, 37200?, Tours, France
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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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