In  it was proved that any increasing functional of the first eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of of unit measure. In this paper we show that every minimizer is uniformly bounded by a constant depending only on .
Cite this article
Dario Mazzoleni, Boundedness of minimizers for spectral problems in . Rend. Sem. Mat. Univ. Padova 135 (2016), pp. 207–221DOI 10.4171/RSMUP/135-12