Lieb-Thirring constant on the sphere and on the torus

2020/09/01 by Alexei Ilyin, Ari Laptev, Ilyin, Alexei +3 · 1 citation
Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Spectral Theory (math.SP) #math.AP #math.SP

paper · pdf · doi:10.48550/arxiv.2009.00527

arxiv created 2020/09/01 · arxiv updated 2020/09/02

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.

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• Gagliardo-Nirenberg-Sobolev inequalities and ground states of Fermions in relativistic Hartree-Fock model

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