Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation-Reference-Cited by-同舟云学术

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Estimates for the deviation of solutions and eigenfunctions of second-order elliptic Dirichlet boundary value problems under domain perturbation

Published:2016-02 Issue:4 Volume:260 Page:3448-3476
ISSN:0022-0396
Container-title:Journal of Differential Equations
language:en
Short-container-title:Journal of Differential Equations

Author:

Feleqi Ermal^ORCID

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference26 articles.

1. Variation et optimisation de formes;Henrot,2005

2. Domain perturbations and estimates for the solutions of second order elliptic equations;Savaré;J. Math. Pures Appl. (9),2002

3. Continuity with respect to the domain for the Laplacian: a survey;Henrot;Control Cybernet.,1994

4. Shapes and Geometries: Analysis, Differential Calculus, and Optimization;Delfour,2001

5. Variational Methods in Shape Optimization Problems;Bucur,2005

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1. On the polygonal Faber-Krahn inequality;Journal de l’École polytechnique — Mathématiques;2023-12-21

2. Asymptotic behavior of repeated eigenvalues of perturbed self-adjoint elliptic operators;Asymptotic Analysis;2021-10-29

3. Quantitative estimates on localized finite differences for the fractional Poisson problem, and applications to regularity and spectral stability;Communications in Mathematical Sciences;2018

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