Accepted
Inserted: 21 feb 2013
Last Updated: 7 nov 2014
Journal: Rend. Sem. Mat. Univ. Padova
Year: 2014
Abstract:
In a recent paper with Aldo Pratelli we proved that any increasing functional of the first $k$ eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of $\mathbb{R}^N$ of unit measure. In this paper it is shown that every minimizer is uniformly bounded by a constant depending only on $k,N$.
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