Rupert Frank
Rupert Frank
Professor of Mathematics, Caltech
Bestätigte E-Mail-Adresse bei
Zitiert von
Zitiert von
Uniqueness of non-linear ground states for fractional Laplacians in {\ mathbb {R}}
RL Frank, E Lenzmann
Acta mathematica 210 (2), 261-318, 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
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
Non-linear ground state representations and sharp Hardy inequalities
RL Frank, R Seiringer
Journal of Functional Analysis 255 (12), 3407-3430, 2008
Monotonicity of a relative Rényi entropy
RL Frank, EH Lieb
Journal of Mathematical Physics 54 (12), 122201, 2013
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
Sharp constants in several inequalities on the Heisenberg group
RL Frank, EH Lieb
Annals of Mathematics 176 (1), 349-381, 2012
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
Eigenvalue bounds for Schrödinger operators with complex potentials
RL Frank
Bulletin of the London Mathematical Society 43 (4), 745-750, 2011
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
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
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
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
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
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
Eigenvalue bounds for Schrödinger operators with complex potentials. III
R Frank
Transactions of the American Mathematical Society 370 (1), 219-240, 2018
A simple proof of Hardy-Lieb-Thirring inequalities
RL Frank
Communications in Mathematical Physics 290 (2), 789-800, 2009
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates
RL Frank, J Sabin
American Journal of Mathematics 139 (6), 1649-1691, 2017
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
Eigenvalue bounds for Schr\" odinger operators with complex potentials. II
RL Frank, B Simon
arXiv preprint arXiv:1504.01144, 2015
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