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Minimal partitions for anisotropic tori

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Publication:402279
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DOI10.4171/JST/68zbMath1321.58006arXiv1509.04622OpenAlexW2963530120MaRDI QIDQ402279

Bernard Helffer, Thomas Hoffmann-Ostenhof

Publication date: 27 August 2014

Published in: Journal of Spectral Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.04622


zbMATH Keywords

spectral theoryLaplaciannodal setsminimal partition


Mathematics Subject Classification ID

Optimization of shapes other than minimal surfaces (49Q10) Spectral theory; eigenvalue problems on manifolds (58C40)


Related Items (5)

Courant-sharp eigenvalues of Neumann 2-rep-tiles ⋮ Spectral minimal partitions of a sector ⋮ Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders ⋮ Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip ⋮ Courant-sharp eigenvalues of a two-dimensional torus



Cites Work

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  • Operator methods in mathematical physics. Conference on operator theory, analysis and mathematical physics (OTAMP) 2010, Bedlewo, Poland
  • Nodal domains and spectral minimal partitions
  • Aharonov–Bohm Hamiltonians, isospectrality and minimal partitions
  • On Spectral Minimal Partitions: the Case of the Sphere


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