Berezin--Li--Yau inequalities on domains on the sphere
Alexei Ilyin, Ari Laptev

TL;DR
This paper establishes Berezin--Li--Yau inequalities for eigenvalues of Laplacians on domains on the sphere, with detailed analysis for the 2-sphere including vector Laplacians and the Stokes operator.
Contribution
It extends Berezin--Li--Yau inequalities to spherical domains and provides detailed results for the 2-sphere, including vector and Stokes operators.
Findings
Proved Berezin--Li--Yau inequalities on spherical domains
Derived specific results for the 2-sphere case
Included analysis of vector Laplacian and Stokes operator
Abstract
We prove Berezin--Li--Yau inequalities for the Dirichlet and Neumann eigenvalues on domains on the sphere . The case of is treated in greater detail, including the vector Dirichlet Laplacian and the Stokes operator.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
