Pleijel’s nodal domain theorem for free membranes
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Publication:3617591
DOI10.1090/S0002-9939-08-09596-8zbMath1162.35005arXiv0805.1553OpenAlexW2963235232MaRDI QIDQ3617591
Publication date: 30 March 2009
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0805.1553
General topics in linear spectral theory for PDEs (35P05) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)
Related Items (18)
On exact Pleijel's constant for some domains ⋮ Courant-sharp eigenvalues of Neumann 2-rep-tiles ⋮ Asymptotic relation for zeros of cross-product of Bessel functions and applications ⋮ Pleijel's nodal domain theorem for Neumann and Robin eigenfunctions ⋮ The number of nodal domains on quantum graphs as a stability index of graph partitions ⋮ Bounding the number of nodal domains of eigenfunctions without singular points on the square ⋮ On Pleijel's nodal domain theorem for the Robin problem ⋮ Some nodal properties of the quantum harmonic oscillator and other Schrödinger operators in ℝ² ⋮ A geometric uncertainty principle with an application to Pleijel's estimate ⋮ Pleijel's theorem for Schrödinger operators with radial potentials ⋮ The weak Pleijel theorem with geometric control ⋮ On the number of Courant-sharp Dirichlet eigenvalues ⋮ Courant-sharp eigenvalues of compact flat surfaces: Klein bottles and cylinders ⋮ A. Stern's analysis of the nodal sets of some families of spherical harmonics revisited ⋮ A metric Sturm-Liouville theory in two dimensions ⋮ Courant-sharp eigenvalues of the three-dimensional square torus ⋮ On nodal domains in Euclidean balls ⋮ Courant-sharp eigenvalues of a two-dimensional torus
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