A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
Pier Domenico Lamberti, Luigi Provenzano · arXiv (Cornell University) · 2012
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.