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      Optimal ground state energy of two-phase conductors

      , Article Electronic Journal of Differential Equations ; Vol. 2014 , 2014 ; ISSN: 10726691 Mohammadi, A ; Yousefnezhad, M ; Sharif University of Technology
      Abstract
      We consider the problem of distributing two conducting materials in a ball with xed proportion in order to minimize the rst eigenvalue of a Dirichlet operator. It was conjectured that the optimal distribution consists of putting the material with the highest conductivity in a ball around the center. In this paper, we show that the conjecture is false for all dimensions greater than or equal to two  
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