Optimizing the first Dirichlet eigenvalue of the Laplacian with an obstacle

DOI10.2422/2036-2145.201702_003zbMath1445.35263arXiv1702.01307OpenAlexW2963629750MaRDI QIDQ3299404

Davide Zucco, Antoine Henrot

Publication date: 22 July 2020

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1702.01307

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15)

Related Items (6)

Asymptotic properties of an optimal principal eigenvalue with spherical weight and Dirichlet boundary conditions ⋮ Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ Stability Results for the Robin-Laplacian on Nonsmooth Domains ⋮ Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues ⋮ Where to place a spherical obstacle so as to maximize the first nonzero Steklov eigenvalue ⋮ Phase-field methods for spectral shape and topology optimization

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