Asymptotics of the First Laplace Eigenvalue with Dirichlet Regions of Prescribed Length

DOI10.1137/130916825zbMath1282.35263arXiv1803.10950OpenAlexW1984040238MaRDI QIDQ5397626

Davide Zucco, Paolo Tilli

Publication date: 24 February 2014

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1803.10950

zbMATH Keywords

optimization\(\Gamma\)-convergencefirst Laplace eigenvalue

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Asymptotic distributions of eigenvalues in context of PDEs (35P20) Optimization of shapes other than minimal surfaces (49Q10)

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Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case ⋮ Upscaling of screw dislocations with increasing tangential strain ⋮ Spectral partitions for Sturm–Liouville problems ⋮ Regularity for the Optimal Compliance Problem with Length Penalization ⋮ Optimal partitioning of an interval and applications to Sturm-Liouville eigenvalues ⋮ Where Best to Place a Dirichlet Condition in an Anisotropic Membrane?

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