E. Lieb

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19922005

most citedFerromagnetism of the Hubbard Model at Strong Coupling in the Hartree-Fock Approximation

11 citations · 31 across the 11 of their papers we have counts for

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math.FA2004★ 5 cited

A Sharp analog of Young's Inequality on $S^{N}$ and Related Entropy Inequalities

Eric Carlen, Elliott Lieb, Michael Loss

We prove a sharp analog of Young's inequality on $S^{N}$ , and deduce from it certain sharp entropy inequalities. The proof turns on constructing a nonlinear heat flow that drives tri…

math.FA2002

Poincare Inequalities in Punctured Domains

Elliott H. Lieb, Robert Seiringer, Jakob Yngvason

The classic Poincare inequality bounds the $L^{q}$ -norm of a function $f$ in a bounded domain $Ω \subset R^{n}$ in terms of some $L^{p}$ -norm of its gradient in $Ω$ . We generalize this i…

A Sharp analog of Young's Inequality on SN and Related Entropy Inequalities

Poincare Inequalities in Punctured Domains

A Sharp analog of Young's Inequality on $S^{N}$ and Related Entropy Inequalities