Asymptotic behavior of u-capacities and singular perturbations for the Dirichlet-Laplacian

DOI10.1051/cocv/2020078zbMath1468.35100arXiv1911.06686OpenAlexW3099226288MaRDI QIDQ4999603

Corentin Léna, Paolo Musolino, Laura Abatangelo, Virginie Bonnaillie-Noël

Publication date: 7 July 2021

Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1911.06686

zbMATH Keywords

asymptotic expansionperforated domainsmall capacity sets

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Singular perturbations in context of PDEs (35B25) Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Asymptotic expansions of solutions to PDEs (35C20) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Potentials and capacities on other spaces (31C15)

Related Items (4)

Asymptotic behavior of generalized capacities with applications to eigenvalue perturbations: the higher dimensional case ⋮ On the eigenvalues of the biharmonic operator with Neumann boundary conditions on a thin set ⋮ Perturbed eigenvalues of polyharmonic operators in domains with small holes ⋮ Ramification of multiple eigenvalues for the Dirichlet-Laplacian in perforated domains

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