Rupert Frank
Rupert Frank
Professor of Mathematics, Caltech
Verified email at caltech.edu
Title
Cited by
Cited by
Year
Uniqueness of non-linear ground states for fractional Laplacians in {\ mathbb {R}}
RL Frank, E Lenzmann
Acta mathematica 210 (2), 261-318, 2013
357*2013
Uniqueness of radial solutions for the fractional Laplacian
RL Frank, E Lenzmann, L Silvestre
Communications on Pure and Applied Mathematics 69 (9), 1671-1726, 2016
3032016
Non-linear ground state representations and sharp Hardy inequalities
RL Frank, R Seiringer
Journal of Functional Analysis 255 (12), 3407-3430, 2008
2712008
Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators
R Frank, E Lieb, R Seiringer
Journal of the American Mathematical Society 21 (4), 925-950, 2008
2562008
Monotonicity of a relative Rényi entropy
RL Frank, EH Lieb
Journal of Mathematical Physics 54 (12), 122201, 2013
1992013
Sharp constants in several inequalities on the Heisenberg group
RL Frank, EH Lieb
Annals of Mathematics 176 (1), 349-381, 2012
1172012
Lieb–Thirring inequalities for Schrödinger operators with complex-valued potentials
RL Frank, A Laptev, EH Lieb, R Seiringer
Letters in Mathematical Physics 77 (3), 309-316, 2006
982006
Eigenvalue bounds for Schrödinger operators with complex potentials
RL Frank
Bulletin of the London Mathematical Society 43 (4), 745-750, 2011
962011
Inversion positivity and the sharp Hardy–Littlewood–Sobolev inequality
RL Frank, EH Lieb
Calculus of Variations and Partial Differential Equations 39 (1-2), 85-99, 2010
952010
Intrinsic metrics for non-local symmetric Dirichlet forms and applications to spectral theory
RL Frank, D Lenz, D Wingert
Journal of Functional Analysis 266 (8), 4765-4808, 2014
892014
Müller’s exchange-correlation energy in density-matrix-functional theory
RL Frank, EH Lieb, R Seiringer, H Siedentop
Physical Review A 76 (5), 052517, 2007
702007
The critical temperature for the BCS equation at weak coupling
RL Frank, C Hainzl, S Naboko, R Seiringer
Journal of Geometric Analysis 17 (4), 559-567, 2007
672007
Eigenvalue bounds for Schrödinger operators with complex potentials. III
R Frank
Transactions of the American Mathematical Society 370 (1), 219-240, 2018
652018
Microscopic derivation of Ginzburg-Landau theory
R Frank, C Hainzl, R Seiringer, J Solovej
Journal of the American Mathematical Society 25 (3), 667-713, 2012
632012
A new, rearrangement-free proof of the sharp Hardy–Littlewood–Sobolev inequality
RL Frank, EH Lieb
Spectral theory, function spaces and inequalities, 55-67, 2012
622012
The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three dimensional upper half-space
RD Benguria, RL Frank, M Loss
arXiv preprint arXiv:0705.3833, 2007
612007
Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems
J Bellazzini, RL Frank, N Visciglia
Mathematische Annalen 360 (3-4), 653-673, 2014
572014
Eigenvalue bounds for Schr\" odinger operators with complex potentials. II
RL Frank, B Simon
arXiv preprint arXiv:1504.01144, 2015
552015
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
RL Frank, J Sabin
American Journal of Mathematics 139 (6), 1649-1691, 2017
542017
A simple proof of Hardy-Lieb-Thirring inequalities
RL Frank
Communications in Mathematical Physics 290 (2), 789-800, 2009
542009
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