%0 Journal Article
%T A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
%A Pier Domenico Lamberti
%A Luigi Provenzano
%J Mathematics
%D 2012
%I arXiv
%X We consider eigenvalue problems for general elliptic operators of arbitrary order subject to homogeneous boundary conditions on open subsets of the euclidean N-dimensional space. We prove stability results for the dependence of the eigenvalues upon variation of the mass density and we prove a maximum principle for extremum problems related to mass density perturbations which preserve the total mass.
%U http://arxiv.org/abs/1205.5624v3