An optimal partition problem for eigenvalues

L. A. Cafferelli, Fang Hua Lin

Research output: Contribution to journalArticlepeer-review


In this paper, we studied an optimal partition problem for the Dirichlet eigenvalue. We established the existence of classical solutions to such problems as well as the regularity of free interfaces.

Original languageEnglish (US)
Pages (from-to)5-18
Number of pages14
JournalJournal of Scientific Computing
Issue number1-2
StatePublished - Jun 2007


  • Eigenvalues
  • Free boundary
  • Optimal partition

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Numerical Analysis
  • General Engineering
  • Computational Theory and Mathematics
  • Computational Mathematics
  • Applied Mathematics


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