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.
A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations / Lamberti, PIER DOMENICO; Provenzano, Luigi. - In: EURASIAN MATHEMATICAL JOURNAL. - ISSN 2077-9879. - 4:(2013), pp. 70-83.
A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
LAMBERTI, PIER DOMENICO
;PROVENZANO, LUIGI
2013
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.File | Dimensione | Formato | |
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