Lieb-Thirring inequalities on some manifolds
Spectral Theory
2011-04-14 v1 Analysis of PDEs
Abstract
We prove Lieb-Thirring inequalities with improved constants on the two-dimensional sphere and the two-dimensional torus. In the one-dimensional periodic case we obtain a simultaneous bound for the negative trace and the number of negative eigenvalues.
Cite
@article{arxiv.1104.2488,
title = {Lieb-Thirring inequalities on some manifolds},
author = {Alexei A. Ilyin},
journal= {arXiv preprint arXiv:1104.2488},
year = {2011}
}