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 | 490 | 2016 |
Uniqueness of non-linear ground states for fractional Laplacians in {\ mathbb {R}} RL Frank, E Lenzmann Acta mathematica 210 (2), 261-318, 2013 | 479* | 2013 |
Non-linear ground state representations and sharp Hardy inequalities RL Frank, R Seiringer Journal of Functional Analysis 255 (12), 3407-3430, 2008 | 414 | 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 | 329 | 2008 |
Monotonicity of a relative Rényi entropy RL Frank, EH Lieb Journal of Mathematical Physics 54 (12), 122201, 2013 | 261 | 2013 |
Sharp constants in several inequalities on the Heisenberg group RL Frank, EH Lieb Annals of Mathematics 176 (1), 349-381, 2012 | 181 | 2012 |
Eigenvalue bounds for Schrödinger operators with complex potentials RL Frank Bulletin of the London Mathematical Society 43 (4), 745-750, 2011 | 129 | 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 | 121 | 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 | 113 | 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 | 99 | 2014 |
Restriction theorems for orthonormal functions, Strichartz inequalities, and uniform Sobolev estimates RL Frank, J Sabin American Journal of Mathematics 139 (6), 1649-1691, 2017 | 98 | 2017 |
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 |
Eigenvalue bounds for Schrödinger operators with complex potentials. III R Frank Transactions of the American Mathematical Society 370 (1), 219-240, 2018 | 92 | 2018 |
Maximizers for Gagliardo–Nirenberg inequalities and related non-local problems J Bellazzini, RL Frank, N Visciglia Mathematische Annalen 360 (3-4), 653-673, 2014 | 88 | 2014 |
Remainder terms in the fractional Sobolev inequality S Chen, RL Frank, T Weth Indiana University Mathematics Journal, 1381-1397, 2013 | 88 | 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 | 83 | 2007 |
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 |
Eigenvalue bounds for Schrödinger operators with complex potentials. II RL Frank, B Simon Journal of Spectral Theory 7 (3), 633-658, 2017 | 82 | 2017 |
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 | 82 | 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 | 77 | 2012 |