Rupert Frank
Rupert Frank
Professor of Mathematics, Caltech
Bestätigte E-Mail-Adresse bei caltech.edu
Titel
Zitiert von
Zitiert von
Jahr
Uniqueness of non-linear ground states for fractional Laplacians in {\ mathbb {R}}
RL Frank, E Lenzmann
Acta mathematica 210 (2), 261-318, 2013
363*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
3082016
Non-linear ground state representations and sharp Hardy inequalities
RL Frank, R Seiringer
Journal of Functional Analysis 255 (12), 3407-3430, 2008
2802008
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
2602008
Monotonicity of a relative Rényi entropy
RL Frank, EH Lieb
Journal of Mathematical Physics 54 (12), 122201, 2013
2002013
Sharp constants in several inequalities on the Heisenberg group
RL Frank, EH Lieb
Annals of Mathematics 176 (1), 349-381, 2012
1192012
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
992006
Eigenvalue bounds for Schrödinger operators with complex potentials
RL Frank
Bulletin of the London Mathematical Society 43 (4), 745-750, 2011
982011
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
962010
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
912014
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
662018
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
662012
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
632012
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
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
RL Frank, J Sabin
American Journal of Mathematics 139 (6), 1649-1691, 2017
562017
Eigenvalue bounds for Schr\" odinger operators with complex potentials. II
RL Frank, B Simon
arXiv preprint arXiv:1504.01144, 2015
562015
Refined semiclassical asymptotics for fractional powers of the Laplace operator
RL Frank, L Geisinger
Journal für die reine und angewandte Mathematik 2016 (712), 1-37, 2016
542016
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