| Trapped modes in acoustic waveguides EB Davies, L Parnovski The Quarterly Journal of Mechanics and Applied Mathematics 51 (3), 477-492, 1998 | 143 | 1998 |
| Complex resonances in acoustic waveguides A Aslanyan, L Parnovski, D Vassiliev The Quarterly Journal of Mechanics and Applied Mathematics 53 (3), 429-447, 2000 | 135 | 2000 |
| On the principal eigenvalue of a Robin problem with a large parameter M Levitin, L Parnovski Mathematische Nachrichten 281 (2), 272-281, 2008 | 99 | 2008 |
| Bethe–Sommerfeld conjecture L Parnovski Annales Henri Poincaré 9 (3), 457-508, 2008 | 88 | 2008 |
| Commutators, spectral trace identities, and universal estimates for eigenvalues M Levitin, L Parnovski Journal of Functional Analysis 192 (2), 425-445, 2002 | 75 | 2002 |
| On the Bethe-Sommerfeld conjecture for the polyharmonic operator L Parnovski, AV Sobolev | 65 | 2001 |
| Bethe-Sommerfeld conjecture for periodic operators with strong perturbations L Parnovski, AV Sobolev Inventiones mathematicae 181, 467-540, 2010 | 57 | 2010 |
| The Steklov spectrum of surfaces: asymptotics and invariants A Girouard, L Parnovski, I Polterovich, DA Sher Mathematical Proceedings of the Cambridge Philosophical Society 157 (3), 379-389, 2014 | 52 | 2014 |
| Asymptotic eigenvalue estimates for a Robin problem with a large parameter P Exner, A Minakov, L Parnovski Portugaliae Mathematica 71 (2), 141-156, 2014 | 44 | 2014 |
| Isospectral domains with mixed boundary conditions M Levitin, L Parnovski, I Polterovich arXiv preprint math/0510505, 2005 | 40 | 2005 |
| Spectral asymptotics of the Laplace operator on manifolds with cylindrical ends LB Parnovski International Journal of Mathematics 6 (06), 911-920, 1995 | 34 | 1995 |
| Complete asymptotic expansion of the integrated density of states of multidimensional almost-periodic Schrödinger operators L Parnovski, R Shterenberg Annals of Mathematics, 1039-1096, 2012 | 30 | 2012 |
| Spectral asymptotics of Laplace operators on surfaces with cusps LB Parnovski Mathematische Annalen 303 (2), 281-296, 1995 | 29 | 1995 |
| Trapped modes in a waveguide with a long obstacle NSA Khallaf, L Parnovski, D Vassiliev Journal of Fluid Mechanics 403, 251-261, 2000 | 28 | 2000 |
| Existence of Eigenvalues of a Linear Operator Pencil in a Curved Waveguide---Localized Shelf Waves on a Curved Coast ER Johnson, M Levitin, L Parnovski SIAM journal on mathematical analysis 37 (5), 1465-1481, 2006 | 25 | 2006 |
| Lattice points, perturbation theory and the periodic polyharmonic operator L Parnovski, AV Sobolev Annales Henri Poincaré 2, 573-581, 2001 | 22 | 2001 |
| Asymptotic expansion of the integrated density of states of a two-dimensional periodic Schrodinger operator L Parnovski, R Shterenberg arXiv preprint arXiv:0804.3561, 2008 | 21 | 2008 |
| Sloshing, Steklov and corners: asymptotics of sloshing eigenvalues M Levitin, L Parnovski, I Polterovich, DA Sher arXiv preprint arXiv:1709.01891, 2017 | 19 | 2017 |
| Bethe–Sommerfeld conjecture for pseudodifferential perturbation G Barbatis, L Parnovski Communications in Partial Differential Equations 34 (4), 383-418, 2009 | 19 | 2009 |
| The variance of the hyperbolic lattice point counting function R Hill, L Parnovski Russian Journal of Mathematical Physics 12 (4), 472, 2005 | 18 | 2005 |
