Minimising convex combinations of low eigenvalues

Mette Iversen, Dario Cesare Severo Mazzoleni

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)

Abstract

We consider the minimisation of convex combinations of the first three eigenvalues of the Dirichlet Laplacian among sets of fixed measure. We investigate for which cases every minimiser is connected.
Original languageEnglish
Pages (from-to)442-459
Number of pages18
JournalESAIM. COCV
Volume20
DOIs
Publication statusPublished - 2014

Keywords

  • Computational Mathematics
  • Control and Optimization
  • Control and Systems Engineering
  • Dirichlet-Laplacian
  • Eigenvalues
  • Shape Optimization

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