Boundedness of minimizers for spectral problems in R^N

Dario Cesare Severo Mazzoleni

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

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.
Original languageEnglish
Pages (from-to)207-221
Number of pages15
JournalRENDICONTI DEL SEMINARIO MATEMATICO DELL'UNIVERSITA' DI PADOVA
DOIs
Publication statusPublished - 2016

Keywords

  • Algebra and Number Theory
  • Analysis
  • Dirichlet Laplacian
  • Eigenvalues
  • Geometry and Topology
  • Mathematical Physics
  • Shape optimization
  • Spectral problems

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