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Eurasian Mathematical Journal, 2013, Volume 4, Number 3, Pages 70–83
(Mi emj134)
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This article is cited in 10 scientific papers (total in 10 papers)
A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations
P. D. Lamberti, L. Provenzano Dipartimento di Matematica, Università degli Studi di Padova, Via Trieste, 63, 35126 Padova, Italy
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 and phrases:
high order elliptic operators, eigenvalues, mass density.
Received: 25.07.2013
Citation:
P. D. Lamberti, L. Provenzano, “A maximum principle in spectral optimization problems for elliptic operators subject to mass density perturbations”, Eurasian Math. J., 4:3 (2013), 70–83
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https://www.mathnet.ru/eng/emj134 https://www.mathnet.ru/eng/emj/v4/i3/p70
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Abstract page: | 250 | Full-text PDF : | 99 | References: | 45 |
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