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An Optimal Partition Problem for Eigenvalues

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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.

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Authors and Affiliations

  1. Department of Mathematics, The University of Texas at Austin, 1 University Station C1200, Austin, TX, 78712-0257, USA

    L. A. Cafferelli

  2. Courant Institute, New York University, 251 Mercer Street, New York, NY, 10012-1185, USA

    Fang Hua Lin

Authors
  1. L. A. Cafferelli
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  2. Fang Hua Lin
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Correspondence to Fang Hua Lin.

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Cafferelli, L.A., Lin, F.H. An Optimal Partition Problem for Eigenvalues. J Sci Comput 31, 5–18 (2007). https://doi.org/10.1007/s10915-006-9114-8

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  • DOI: https://doi.org/10.1007/s10915-006-9114-8

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