Lower bound for the number of critical points of minimal spectral \(k\)-partitions for \(k\) large

DOI10.1007/s40316-016-0058-6zbMath1370.35223arXiv1504.01015OpenAlexW2278415828MaRDI QIDQ2398252

Bernard Helffer

Publication date: 15 August 2017

Published in: Annales Mathématiques du Québec (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1504.01015

zbMATH Keywords

spectral theoryLaplacianminimal partitionsAharonov-Bohm

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05)

Cites Work

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• Eigenfunctions and Hardy inequalities for a magnetic Schrödinger operator in ℝ²
• Numerical simulations for nodal domains and spectral minimal partitions
• A variational problem for the spatial segregation of reaction-diffusion systems
• Eigenvalues variations for Aharonov-Bohm operators

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