| Sharp Lieb-Thirring inequalities in high dimensions A Laptev, T Weidl | 226 | 2000 |
| Hardy inequalities for magnetic Dirichlet forms A Laptev, T Weidl Mathematical Results in Quantum Mechanics: QMath7 Conference, Prague, June …, 1999 | 182 | 1999 |
| Dirichlet and Neumann eigenvalue problems on domains in Euclidean spaces A Laptev journal of functional analysis 151 (2), 531-545, 1997 | 173 | 1997 |
| A geometrical version of Hardy's inequality M Hoffmann-Ostenhof, T Hoffmann-Ostenhof, A Laptev Journal of Functional Analysis 189 (2), 539-548, 2002 | 134 | 2002 |
| New bounds on the Lieb-Thirring constants D Hundertmark, A Laptev, T Weidl arXiv preprint math-ph/9906013, 1999 | 121 | 1999 |
| Lieb-Thirring inequalities for Schr\" odinger operators with complex-valued potentials RL Frank, A Laptev, EH Lieb, R Seiringer arXiv preprint math-ph/0605017, 2006 | 120 | 2006 |
| Eigenvalue estimates for Schrödinger operators with complex potentials A Laptev, O Safronov Communications in Mathematical Physics 292 (1), 29-54, 2009 | 115 | 2009 |
| Recent results on Lieb-Thirring inequalities A Laptev, T Weidl Journées Équations aux dérivées partielles, 1-14, 2000 | 114 | 2000 |
| Lieb–Thirring inequalities with improved constants A Laptev, J Dolbeault, M Loss Journal of the European Mathematical Society 10 (4), 1121-1126, 2008 | 90 | 2008 |
| The negative discrete spectrum of a two‐dimensional Schrödinger operator MS Birman, A Laptev Communications on pure and applied mathematics 49 (9), 967-997, 1996 | 84 | 1996 |
| Schrödinger operators: eigenvalues and Lieb–Thirring inequalities RL Frank, A Laptev, T Weidl Cambridge University Press, 2022 | 62 | 2022 |
| Many-particle Hardy inequalities M Hoffmann-Ostenhof, T Hoffmann-Ostenhof, A Laptev, J Tidblom Journal of the London Mathematical Society 77 (1), 99-115, 2008 | 61 | 2008 |
| Szegö type limit theorems A Laptev, Y Safarov journal of functional analysis 138 (2), 544-559, 1996 | 58 | 1996 |
| On the number of eigenvalues of Schrödinger operators with complex potentials RL Frank, A Laptev, O Safronov Journal of the London Mathematical Society 94 (2), 377-390, 2016 | 55 | 2016 |
| On new relations between spectral properties of Jacobi matrices and their coefficients A Laptev, S Naboko, O Safronov Communications in mathematical physics 241, 91-110, 2003 | 54 | 2003 |
| One-dimensional Gagliardo–Nirenberg–Sobolev inequalities: remarks on duality and flows J Dolbeault, MJ Esteban, A Laptev, M Loss Journal of the London Mathematical Society 90 (2), 525-550, 2014 | 52 | 2014 |
| On global representation of Lagrangian distributions and solutions of hyperbolic equations A Laptev, Y Safarov, D Vassiliev Communications on Pure and Applied Mathematics 47 (11), 1411-1456, 1994 | 52 | 1994 |
| Absolutely continuous spectrum of Schrödinger operators with slowly decaying and oscillating potentials A Laptev, S Naboko, O Safronov Communications in mathematical physics 253, 611-631, 2005 | 50 | 2005 |
| Eigenvalue estimates for non-selfadjoint Dirac operators on the real line JC Cuenin, A Laptev, C Tretter Annales Henri Poincaré 15, 707-736, 2014 | 48 | 2014 |
| Hardy inequalities for nonconvex domains F Avkhadiev, A Laptev Around the Research of Vladimir Maz'ya I: Function Spaces, 1-12, 2009 | 47 | 2009 |
