E. Lieb

activity

19922020

most citedLieb-Thirring inequalities for Schrödinger operators with complex-valued potentials

99 citations · 390 across the 29 of their papers we have counts for

collaborators

Showing 2018Show all

3 papers · 1 filter

math-ph2018

Periodic energy minimizers for a one-dimensional liquid drop model

Rupert L. Frank, Elliott H. Lieb

We reprove a result by Ren and Wei concerning the periodicity of minimizers of a one-dimensional liquid drop model in the neutral case. Our proof works for general boundary conditi…

math.FA2018

Inequalities for $L^{p}$ -norms that sharpen the triangle inequality and complement Hanner's Inequality

Eric A. Carlen, Rupert L. Frank, Paata Ivanisvili +1

In 2006 Carbery raised a question about an improvement on the naïve norm inequality $∥ f + g ∥_{p}^{p} \leq 2^{p - 1} (∥ f ∥_{p}^{p} + ∥ g ∥_{p}^{p})$ for two functions in $L^{p}$ of any measure spac…

math-ph2018

Inequalities for quantum divergences and the Audenaert-Datta conjecture

Eric A. Carlen, Rupert L. Frank, Elliott H. Lieb

Given two density matrices $ρ$ and $σ$ , there are a number of different expressions that reduce to the $α$ -Rényi relative entropy of $ρ$ with respect to $σ$ in the classical case;…

Periodic energy minimizers for a one-dimensional liquid drop model

Inequalities for Lp-norms that sharpen the triangle inequality and complement Hanner's Inequality

Inequalities for quantum divergences and the Audenaert-Datta conjecture

Inequalities for $L^{p}$ -norms that sharpen the triangle inequality and complement Hanner's Inequality