Pleijel’s nodal domain theorem for Neumann and Robin eigenfunctions

Author:

Léna Corentin

Publisher

Cellule MathDoc/CEDRAM

Subject

Geometry and Topology,Algebra and Number Theory

Reference25 articles.

1. [1] Bérard, Pierre; Helffer, Bernard The weak Pleijel theorem with geometric control, J. Spectr. Theory, Volume 6 (2016) no. 4, pp. 717-733

2. [2] Bérard, Pierre; Meyer, Daniel Inégalités isopérimétriques et applications, Ann. Sci. Éc. Norm. Supér., Volume 15 (1982) no. 3, pp. 513-541

3. [3] Van Den Berg, Michiel; Gittins, Katie On the number of Courant-sharp Dirichlet eigenvalues, J. Spectr. Theory, Volume 6 (2016) no. 4, pp. 735-745

4. [4] Bonnaillie-Noël, Virginie; Helffer, Bernard Nodal and spectral minimal partitions – the state of the art in 2016, Shape optimization and spectral theory, De Gruyter (2017), pp. 353-397

5. [5] Bourgain, Jean On Pleijel’s nodal domain theorem, Int. Math. Res. Not. (2015) no. 6, pp. 1601-1612

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1. Pleijel nodal domain theorem in non-smooth setting;Transactions of the American Mathematical Society, Series B;2024-09-13

2. Uniform Upper Bounds on Courant Sharp Neumann Eigenvalues of Chain Domains;The Journal of Geometric Analysis;2024-06-15

3. On Pleijel's nodal domain theorem for the Robin problem;Bulletin of the London Mathematical Society;2024-02-21

4. Universality of Nodal Count Distribution in Large Metric Graphs;Experimental Mathematics;2022-07-04

5. Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders;Proceedings of the American Mathematical Society;2021-10-25

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