Published Paper
Inserted: 20 oct 2014
Last Updated: 5 aug 2016
Journal: SIAM J. Math. Anal.
Volume: 47
Number: 6
Pages: 4451-4466
Year: 2015
Doi: 10.1137/140992448
Abstract:
In this paper we give a method to geometrically modify an open set such that the first $k$ eigenvalues of the Dirichlet Laplacian and its perimeter are not increasing, its measure remains constant, and both perimeter and diameter decrease below a certain threshold. The key point of the analysis relies on the properties of the shape subsolutions for the torsion energy.
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