Lieb-Thirring constant on the sphere and on the torus
Analysis of PDEs
2020-09-02 v1 Spectral Theory
Abstract
We prove on the 2D sphere and on the 2D torus the Lieb-Thirring inequalities with improved constants for orthonormal families of scalar and vector functions.
Keywords
Cite
@article{arxiv.2009.00527,
title = {Lieb-Thirring constant on the sphere and on the torus},
author = {Alexei Ilyin and Ari Laptev and Sergey Zelik},
journal= {arXiv preprint arXiv:2009.00527},
year = {2020}
}