Výsledky vyhledávání - "stability of eigenvalues"

EIGENVALUES OF THE FINSLER p ‐LAPLACIAN ON VARYING DOMAINS

Autor: Giuseppina di Blasio, Pier Domenico Lamberti

Publikováno v: Mathematika. 66:765-776

We study the dependence of the first eigenvalue of the Finsler $p$-Laplacian and the corresponding eigenfunctions upon perturbation of the domain and we generalize a few results known for the standard $p$-Laplacian. In particular, we prove a Frech\'{

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5df3d3138375620d19910a6f6e123963
https://doi.org/10.1112/mtk.12042

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Quantitative inequality for the eigenvalue of a Schrödinger operator in the ball

Autor: Idriss Mazari

Publikováno v: Journal of Differential Equations
Journal of Differential Equations, Elsevier, 2020, 269, pp.10181-10238. ⟨10.1016/j.jde.2020.06.057⟩

The aim of this article is to prove a quantitative inequality for the first eigenvalue of a Schrodinger operator in the ball. More precisely, we optimize the first eigenvalue λ ( V ) of the operator L v : = − Δ − V with Dirichlet boundary condi

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f0a4be63c80b1b8a861e13287f0808c1
https://hal.archives-ouvertes.fr/hal-03492174

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A quantitative stability estimate for the fractional Faber-Krahn inequality

Autor: Eleonora Cinti, Stefano Vita, Lorenzo Brasco

We prove a quantitative version of the Faber-Krahn inequality for the first eigenvalue of the fractional Dirichlet-Laplacian of order s. This is done by using the so-called Caffarelli-Silvestre extension and adapting to the nonlocal setting a trick b

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a7a7ebf5af71d980b6df8e2f9a36bbc0
http://arxiv.org/abs/1901.10845

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Akademický článek

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Faber–Krahn inequalities in sharp quantitative form

Autor: Bozhidar Velichkov, Lorenzo Brasco, Guido De Philippis

Publikováno v: Duke Mathematical Journal
Duke Mathematical Journal, Duke University Press, 2015, 164 (9), pp.1777-1831. ⟨10.1215/00127094-3120167⟩
Duke Math. J. 164, no. 9 (2015), 1777-1831
Duke Mathematical Journal, 2015, 164 (9), pp.1777-1831. ⟨10.1215/00127094-3120167⟩

International audience; The classical Faber–Krahn inequality asserts that balls (uniquely) minimize the first eigenvalue of the Dirichlet Laplacian among sets with given volume. In this article we prove a sharp quantitative enhancement of this resu

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::31738ec8b547558b109a98a8835e427f
https://doi.org/10.1215/00127094-3120167

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Eigenvalues for double phase variational integrals

Autor: Francesca Colasuonno, Marco Squassina

We study an eigenvalue problem in the framework of double phase variational integrals and we introduce a sequence of nonlinear eigenvalues by a minimax procedure. We establish a continuity result for the nonlinear eigenvalues with respect to the vari

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5c22bbcfd9c1476fab2cbbad3d73fc05
http://hdl.handle.net/2318/1661204

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Spectral stability of Dirichlet second order uniformly elliptic operators

Autor: Pier Domenico Lamberti, Victor Burenkov

Publikováno v: Journal of Differential Equations. 244:1712-1740

We prove sharp stability results for the dependence of the eigenvalues of second order uniformly elliptic linear operators with homogeneous Dirichlet boundary conditions upon domain perturbation.

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::2fa3ceeba1586b0ee4a7f59e852c3583
https://doi.org/10.1016/j.jde.2007.12.009

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