In [8] it was proved that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of ℝN of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.
Boundedness of minimizers for spectral problems in ℝN
Mazzoleni D.
2016-01-01
Abstract
In [8] it was proved that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of ℝN of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.File in questo prodotto:
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