An Optimal Partition Problem for Eigenvalues

  • Authors:

  • L. A. Cafferelli;Fang Hua Lin

  • Affiliations:

  • Department of Mathematics, The University of Texas at Austin, Austin, USA 78712-0257;Courant Institute, New York University, New York, USA 10012-1185

  • Venue:
  • Journal of Scientific Computing
  • Year:
  • 2007

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Abstract

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.