On nodal domains in Euclidean balls

DOI10.1090/proc/13098zbMath1362.35200arXiv1506.04033OpenAlexW2207414324MaRDI QIDQ2821739

Bernard Helffer, Mikael Persson Sundqvist

Publication date: 23 September 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.04033

zbMATH Keywords

nodal domainCourant theoremNeumann Laplacian operatorDirichlet Laplacian operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Asymptotic distributions of eigenvalues in context of PDEs (35P20)

Related Items (16)

On Courant's nodal domain property for linear combinations of eigenfunctions. I ⋮ On exact Pleijel's constant for some domains ⋮ Courant-sharp eigenvalues of Neumann 2-rep-tiles ⋮ On the Placement of an Obstacle so as to Optimize the Dirichlet Heat Content ⋮ On multiplicity of eigenvalues and symmetry of eigenfunctions of the \(p\)-Laplacian ⋮ Stability of spectral partitions and the Dirichlet-to-Neumann map ⋮ Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions ⋮ Upper bounds for Courant-sharp Neumann and Robin eigenvalues ⋮ On Pleijel's nodal domain theorem for the Robin problem ⋮ A remark on Pólya's conjecture at low frequencies ⋮ Limiting eigenfunctions of Sturm-Liouville operators subject to a spectral flow ⋮ Pleijel's theorem for Schrödinger operators with radial potentials ⋮ Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders ⋮ Courant-sharp property for Dirichlet eigenfunctions on the Möbius strip ⋮ A uniform bound on the multiplicity of Dirichlet eigenvalues in planar annuli ⋮ Szegö--Weinberger Type Inequalities for Symmetric Domains with Holes

Cites Work

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