Maximizing/Minimizing the Principal Eigenvalues of Multiphase Anisotropic Conductors: Convexification vs. Homogenization
Abstract: The maximization/Minimization of the principal eigenvalues of elliptic operators is considered. A relaxed formulation of this problem is considered for composite materials with a volume constraint in the view of control theory. It is founded that the maximizer/minimizer can also be got by convexifying the original problem in usual method.