Symmetrization of functions and principal eigenvalues of elliptic operators
Symmetrization of functions and principal eigenvalues of elliptic operators
In this paper, we consider shape optimization problems for the principal eigenvalues of second order uniformly elliptic operators in bounded domains of ℝ n . We first recall the classical Rayleigh-Faber-Krahn problem, that is the minimization of the principal eigenvalue of the Dirichlet Laplacian in a domain with fixed Lebesgue …