Rupert Frank

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Elliott LiebProf. of mathematics and physics, Princeton UniversityVerified email at math.princeton.edu
Michael LossProfessor of MathematicsVerified email at math.gatech.edu
Heinz SiedentopProfessor em. of Applied Mathematics, Ludwig-Maximilians-Universität MünchenVerified email at lmu.de
Mathieu LewinCNRS & Université Paris-DauphineVerified email at math.cnrs.fr
Phan Thành NamLMU MunichVerified email at math.lmu.de
Tobias KönigGoethe-Universität FrankfurtVerified email at mathematik.uni-frankfurt.de
Hynek KovarikUniversità degli Studi di BresciaVerified email at unibs.it
Jean DOLBEAULTCeremade, Université Paris-DauphineVerified email at ceremade.dauphine.fr
Barry SimonCaltechVerified email at caltech.edu
Eric CarlenDistinguished Professor of Mathematics, Rutgers UniversityVerified email at math.rutgers.edu
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
Daniel LenzInstitut fuer Mathematik, Friedrich-Schiller-Universitaet JenaVerified email at uni-jena.de
JACOPO BELLAZZINIUniversità di PisaVerified email at unipi.it
Maria J. ESTEBANDirectrice de recherche émérite, CNRS & Université Paris-DauphineVerified email at ceremade.dauphine.fr
Alexander PushnitskiKing's College LondonVerified email at kcl.ac.uk
Simone WarzelTUMVerified email at ma.tum.de

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 radial solutions for the fractional Laplacian RL Frank, E Lenzmann, L Silvestre Communications on Pure and Applied Mathematics 69 (9), 1671-1726, 2016	505	2016
Uniqueness of non-linear ground states for fractional Laplacians in {\ mathbb {R}} RL Frank, E Lenzmann Acta mathematica 210 (2), 261-318, 2013	490*	2013
Non-linear ground state representations and sharp Hardy inequalities RL Frank, R Seiringer Journal of Functional Analysis 255 (12), 3407-3430, 2008	426	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	338	2008
Monotonicity of a relative Rényi entropy RL Frank, EH Lieb Journal of Mathematical Physics 54 (12), 122201, 2013	268	2013
Sharp constants in several inequalities on the Heisenberg group RL Frank, EH Lieb Annals of Mathematics 176 (1), 349-381, 2012	190	2012
Eigenvalue bounds for Schrödinger operators with complex potentials RL Frank Bulletin of the London Mathematical Society 43 (4), 745-750, 2011	134	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	123	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	116	2010
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates RL Frank, J Sabin American Journal of Mathematics 139 (6), 1649-1691, 2017	104	2017
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	103	2014
Eigenvalue bounds for Schrödinger operators with complex potentials. III R Frank Transactions of the American Mathematical Society 370 (1), 219-240, 2018	96	2018
Remainder terms in the fractional Sobolev inequality S Chen, RL Frank, T Weth Indiana University Mathematics Journal, 1381-1397, 2013	95	2013
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	94	2012
Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems J Bellazzini, RL Frank, N Visciglia Mathematische Annalen 360 (3-4), 653-673, 2014	90	2014
Schrödinger operators: eigenvalues and Lieb–Thirring inequalities RL Frank, A Laptev, T Weidl Cambridge University Press, 2022	86	2022
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	85	2007
Eigenvalue bounds for Schrödinger operators with complex potentials. II RL Frank, B Simon Journal of Spectral Theory 7 (3), 633-658, 2017	83	2017
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	83	2007
Müller’s exchange-correlation energy in density-matrix-functional theory RL Frank, EH Lieb, R Seiringer, H Siedentop Physical Review A—Atomic, Molecular, and Optical Physics 76 (5), 052517, 2007	82	2007

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