Geodesic
A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
Eurasian mathematical journal, Tome 4 (2013) no. 3, pp. 70-83.

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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. 
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P. D. Lamberti; L. Provenzano. A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations. Eurasian mathematical journal, Tome 4 (2013) no. 3, pp. 70-83. http://geodesic.mathdoc.fr/item/EMJ_2013_4_3_a6/

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