Rupert Frank

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Elliott LiebProf. of mathematics and physics, Princeton UniversityVerified email at math.princeton.edu
Mathieu LewinCNRS & Université Paris-DauphineVerified email at math.cnrs.fr
Michael LossProfessor of MathematicsVerified email at math.gatech.edu
Heinz SiedentopProfessor em. of Applied Mathematics, Ludwig-Maximilians-Universität MünchenVerified email at lmu.de
Phan Thành NamLMU MunichVerified email at math.lmu.de
Tobias KönigGoethe-Universität FrankfurtVerified email at mathematik.uni-frankfurt.de
Barry SimonCaltechVerified email at caltech.edu
Eric CarlenDistinguished Professor of Mathematics, Rutgers UniversityVerified email at math.rutgers.edu
Hynek KovarikUniversità degli Studi di BresciaVerified email at unibs.it
Jean DOLBEAULTCeremade, Université Paris-DauphineVerified email at ceremade.dauphine.fr
Jan Philip SolovejUniversity of CopenhagenVerified email at math.ku.dk
Simon LarsonPostdoc, Chalmers University of Technology and the University of GothenburgVerified email at chalmers.se
Konstantin MerzTechnische Universität Braunschweig (Carolo-Wilhelmina)Verified email at tu-bs.de
Luis SilvestreProfessor of Mathematics, University of ChicagoVerified email at math.uchicago.edu
Hanne Van Den BoschUniversidad de Chile & CMM, Universidad de Chile - UMI CNRS 2807Verified email at uchile.cl
Alexander PushnitskiKing's College LondonVerified email at kcl.ac.uk
JACOPO BELLAZZINIUniversità di PisaVerified email at unipi.it
Simone WarzelTUMVerified email at ma.tum.de
Benjamin SchleinUniversity of ZurichVerified email at math.uzh.ch
Rafael BenguriaProfessor of Physics, Pontificia Universidad Catolica de ChileVerified email at uc.cl

Rupert Frank

Professor of Mathematics, Caltech

Verified email at caltech.edu

Mathematical Physics Analysis


Title Sort by citations Sort by year Sort by 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	463*	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	457	2016
Non-linear ground state representations and sharp Hardy inequalities RL Frank, R Seiringer Journal of Functional Analysis 255 (12), 3407-3430, 2008	390	2008
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	314	2008
Monotonicity of a relative Rényi entropy RL Frank, EH Lieb Journal of Mathematical Physics 54 (12), 122201, 2013	256	2013
Sharp constants in several inequalities on the Heisenberg group RL Frank, EH Lieb Annals of Mathematics 176 (1), 349-381, 2012	179	2012
Eigenvalue bounds for Schrödinger operators with complex potentials RL Frank Bulletin of the London Mathematical Society 43 (4), 745-750, 2011	127	2011
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	117	2006
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	111	2010
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	106	2014
A new, rearrangement-free proof of the sharp Hardy–Littlewood–Sobolev inequality RL Frank, EH Lieb Spectral Theory, Function Spaces and Inequalities: New Techniques and Recent …, 2012	93	2012
Eigenvalue bounds for Schrödinger operators with complex potentials. III R Frank Transactions of the American Mathematical Society 370 (1), 219-240, 2018	92	2018
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates RL Frank, J Sabin American Journal of Mathematics 139 (6), 1649-1691, 2017	92	2017
Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems J Bellazzini, RL Frank, N Visciglia Mathematische Annalen 360 (3-4), 653-673, 2014	82	2014
Remainder terms in the fractional Sobolev inequality S Chen, RL Frank, T Weth Indiana University Mathematics Journal, 1381-1397, 2013	82	2013
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	80	2007
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	80	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	79	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	79	2007
Eigenvalue bounds for Schrödinger operators with complex potentials. II RL Frank, B Simon Journal of Spectral Theory 7 (3), 633-658, 2017	78	2017

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