A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
Spectral Theory
2014-01-27 v3
Abstract
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.
Keywords
Cite
@article{arxiv.1205.5624,
title = {A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations},
author = {Pier Domenico Lamberti and Luigi Provenzano},
journal= {arXiv preprint arXiv:1205.5624},
year = {2014}
}