The nonlinear Schrödinger equation for orthonormal functions. II: Application to Lieb-Thirring inequalities

DOI10.1007/s00220-021-04039-5zbMath1465.35015arXiv2002.04964OpenAlexW3163760643MaRDI QIDQ2031132

Mathieu Lewin, Rupert L. Frank, David Gontier

Publication date: 8 June 2021

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2002.04964

zbMATH Keywords

best Lieb-Thirring constantconjecture of Lieb and Thirring

Mathematics Subject Classification ID

Schrödinger operator, Schrödinger equation (35J10) Semilinear elliptic equations (35J61) Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

The Lieb–Thirring inequalities: Recent results and open problems ⋮ Twelve tales in mathematical physics: An expanded Heineman prize lecture ⋮ Lieb-Thirring inequalities and other functional inequalities for orthonormal systems ⋮ The nonlinear Schrödinger equation for orthonormal functions: existence of ground states ⋮ Density functional theory for two-dimensional homogeneous materials ⋮ The periodic Lieb-Thirring inequality

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