Lower bounds for the nodal length of eigenfunctions of the Laplacian
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Publication:5936998
DOI10.1023/A:1010774905973zbMath1010.58025OpenAlexW1550591869MaRDI QIDQ5936998
Publication date: 6 May 2003
Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1010774905973
Related Items (17)
On the isoperimetric inequality for the magnetic Robin Laplacian with negative boundary parameter ⋮ Optimization of the lowest eigenvalue of a soft quantum ring ⋮ Parallel coordinates in three dimensions and sharp spectral isoperimetric inequalities ⋮ Remarks on the boundary set of spectral equipartitions ⋮ Optimisation of the lowest Robin eigenvalue in the exterior of a compact set. II: Non-convex domains and higher dimensions ⋮ Two estimates for the first Robin eigenvalue of the Finsler Laplacian with negative boundary parameter ⋮ Lower bounds for nodal sets of Dirichlet and Neumann eigenfunctions ⋮ A sharp upper bound for the first Dirichlet eigenvalue and the growth of the isoperimetric constant of convex domains ⋮ A Faber-Krahn inequality for solutions of Schrödinger's equation ⋮ The nodal line of the second eigenfunction of the Robin Laplacian in \(\mathbb R^2\) can be closed ⋮ Nodal lengths of eigenfunctions in the disc ⋮ Lower bounds for the first eigenvalue of the Laplacian with zero magnetic field in planar domains ⋮ Some remarks on spherical harmonics ⋮ Lower bounds for interior nodal sets of Steklov eigenfunctions ⋮ Spectral isoperimetric inequalities for Robin Laplacians on 2-manifolds and unbounded cones ⋮ Growth tightness of surface groups ⋮ The first Robin eigenvalue with negative boundary parameter
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