%0 Journal Article
%T Optimal ground state energy of two-phase conductors
%A Abbasali Mohammadi
%A Mohsen Yousefnezhad
%J Mathematics
%D 2014
%I arXiv
%X Consider the problem of distributing two conducting materials in a ball with fixed proportion in order to minimize the first 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 not true for all dimensions $n \geq 2$.
%U http://arxiv.org/abs/1403.1954v4