Lieb, Elliott H.

1. The Mathematics of the Bose Gas and its Condensation
   2006/10/04 by Elliott H. Lieb, Lieb, Elliott H., Robert Seiringer +5 · 10 citations
   Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum, superfluid, helium dynamics #Statistical Mechanics (cond-mat.stat-mech) #Strong Light-Matter Interactions
2. Sharp constants in several inequalities on the Heisenberg group
   2010/09/07 by Frank, Rupert L., Lieb, Elliott H. · 9 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA)
3. A compactness lemma and its application to the existence of minimizers for the liquid drop model
   2015/02/28 by Frank, Rupert L., Lieb, Elliott H. · 3 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph)
4. A new, rearrangement-free proof of the sharp Hardy-Littlewood-Sobolev inequality
   2010/10/27 by Rupert L. Frank, Frank, Rupert L., Élliott H. Lieb +1 · 2 citations
   Mathematics · #Analysis of PDEs (math.AP) #FOS: Mathematics #Functional Analysis (math.FA) #Nonlinear Partial Differential Equations
5. Entropy and entanglement bounds for reduced density matrices of\n fermionic states
   2014/03/15 by Eric A. Carlen, Carlen, Eric A., Élliott H. Lieb +3 · 2 citations
   Computer Science · Physics and Astronomy · #81V99 #82B10 #94A17 #FOS: Mathematics #FOS: Physical sciences #Operator Algebras (math.OA) #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Quantum many-body systems
6. Stability estimates for the lowest eigenvalue of a Schrödinger operator
   2013/01/21 by Carlen, Eric A., Frank, Rupert L., Lieb, Elliott H. · 2 citations
   #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Spectral Theory (math.SP)
7. Some Matrix Rearrangement Inequalities
   2004/02/14 by Eric Carlen, Carlen, Eric, Elliott H. Lieb +1 · 1 citation
   Mathematics · Physics and Astronomy · #15A18 #15A42 #15A45 #47A30 #47A63 #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Operator Algebras (math.OA) #Rings and Algebras (math.RA) #math-ph #math.MP #math.OA #math.RA #msc:15A18 #msc:15A42 #msc:15A45 #msc:47A30 #msc:47A63
8. Proof of spherical flocking based on quantitative rearrangement inequalities
   2019/09/10 by Frank, Rupert L., Lieb, Elliott H. · 2 citations
   #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
9. Some Operator and Trace Function Convexity Theorems
   2014/09/01 by Carlen, Eric A., Frank, Rupert L., Lieb, Elliott H. · 1 citation
   #15A99 #47A63 #94A17 #FOS: Physical sciences #Mathematical Physics (math-ph) #Quantum Physics (quant-ph)
10. Maximizers for the Stein-Tomas inequality
    2016/03/23 by Frank, Rupert L., Lieb, Elliott H., Sabin, Julien · 1 citation
    #Analysis of PDEs (math.AP) #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA)
11. Inequalities for L^p-norms that sharpen the triangle inequality and\n complement Hanner's Inequality
    2018/07/15 by Eric A. Carlen, Rupert L. Frank, Carlen, Eric A. +5 · 1 citation
    Mathematics · #39B62 #46E30 #Advanced Banach Space Theory #Advanced Harmonic Analysis Research #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #Numerical methods in inverse problems
12. Stability estimate for the Lane-Emden inequality
    2024/10/26 by Eric A. Carlen, Carlen, Eric, Mathieu Lewin +5 · 1 citation
    Mathematics · #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Differential Equations Analysis #Spectral Theory in Mathematical Physics