Berezin–Li–Yau inequalities on domains on the sphere

Author:

Ilyin Alexei,Laptev Ari

Funder

Russian Science Foundation

RFBR

Russian Federation Government

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference26 articles.

1. On semi-classical bounds for eigenvalues of Schrödinger operators;Aizenman;Phys. Lett. A,1978

2. Covariant and contravariant symbols of operators;Berezin;Izv. Ross. Akad. Nauk Ser. Mat.,1972

3. Estimates on eigenvalues of Laplacian;Cheng;Math. Ann.,2005

4. Spectral estimates on the sphere;Dolbeault;Anal. PDE,2014

5. On sums of eigenvalues of elliptic operators on manifolds;El Soufi;J. Spectr. Theory,2017

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1. Pólya-type inequalities on spheres and hemispheres;Annales de l'Institut Fourier;2024-07-03

2. Semiclassical Estimates for Eigenvalue Means of Laplacians on Spheres;The Journal of Geometric Analysis;2023-06-20

3. Lower bounds for eigenvalues of Laplacian operator and the clamped plate problem;Calculus of Variations and Partial Differential Equations;2023-06-13

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