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 R^N of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.
Mazzoleni, D., Boundedness of minimizers for spectral problems in R^N, <<RENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA>>, 2016; (135): 207-221. [doi:10.4171/RSMUP/135-12] [http://hdl.handle.net/10807/118950]
Boundedness of minimizers for spectral problems in R^N
Mazzoleni, Dario
2016
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 R^N of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on k, N.
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