Extremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces
Metric Geometry
2014-09-17 v1
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.
Keywords
Cite
@article{arxiv.1403.1993,
title = {Extremal Eigenvalues of the Laplacian on Euclidean domains and closed surfaces},
author = {Bruno Colbois and Ahmad El Soufi},
journal= {arXiv preprint arXiv:1403.1993},
year = {2014}
}