| 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 | 606 | 2016 |
| Uniqueness of non-linear ground states for fractional Laplacians in {\ mathbb {R}} RL Frank, E Lenzmann Acta mathematica 210 (2), 261-318, 2013 | 538* | 2013 |
| Non-linear ground state representations and sharp Hardy inequalities RL Frank, R Seiringer Journal of Functional Analysis 255 (12), 3407-3430, 2008 | 507 | 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 | 374 | 2008 |
| Monotonicity of a relative Rényi entropy RL Frank, EH Lieb Journal of Mathematical Physics 54 (12), 122201, 2013 | 309 | 2013 |
| Sharp constants in several inequalities on the Heisenberg group RL Frank, EH Lieb Annals of Mathematics 176 (1), 349-381, 2012 | 221 | 2012 |
| Eigenvalue bounds for Schrödinger operators with complex potentials RL Frank Bulletin of the London Mathematical Society 43 (4), 745-750, 2011 | 145 | 2011 |
| Schrödinger operators: eigenvalues and Lieb–Thirring inequalities RL Frank, A Laptev, T Weidl Cambridge University Press, 2022 | 144 | 2022 |
| 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 | 131 | 2006 |
| Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates RL Frank, J Sabin American Journal of Mathematics 139 (6), 1649-1691, 2017 | 130 | 2017 |
| 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 | 126 | 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 | 123* | 2014 |
| Remainder terms in the fractional Sobolev inequality S Chen, RL Frank, T Weth Indiana University Mathematics Journal, 1381-1397, 2013 | 122 | 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 …, 2011 | 113 | 2011 |
| Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems J Bellazzini, RL Frank, N Visciglia Mathematische Annalen 360 (3-4), 653-673, 2014 | 108 | 2014 |
| Eigenvalue bounds for Schrödinger operators with complex potentials. III R Frank Transactions of the American Mathematical Society 370 (1), 219-240, 2018 | 107 | 2018 |
| Strichartz inequality for orthonormal functions RL Frank, M Lewin, EH Lieb, R Seiringer Journal of the European Mathematical Society 16 (7), 1507-1526, 2014 | 94 | 2014 |
| 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 | 93 | 2012 |
| 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 | 91 | 2007 |
| An extension problem for the CR fractional Laplacian RL Frank, M del Mar González, DD Monticelli, J Tan Advances in Mathematics 270, 97-137, 2015 | 89 | 2015 |
Elliott LiebProf. of mathematics and physics, Princeton UniversityVerified email at math.princeton.edu
