An isoperimetric inequality for Laplace eigenvalues on the sphere M Karpukhin, N Nadirashvili, AV Penskoi, I Polterovich Journal of Differential Geometry 118 (2), 313-333, 2021 | 30 | 2021 |
Extremal spectral properties of Lawson tau-surfaces and the Lam\'e equation AV Penskoi arXiv preprint arXiv:1009.0285, 2010 | 28 | 2010 |
Conformally maximal metrics for Laplace eigenvalues on surfaces M Karpukhin, N Nadirashvili, AV Penskoi, I Polterovich arXiv preprint arXiv:2003.02871, 2020 | 26 | 2020 |
Extremal spectral properties of Otsuki tori AV Penskoi Mathematische Nachrichten 286 (4), 379-391, 2013 | 26 | 2013 |
An isoperimetric inequality for Laplace eigenvalues on the sphere M Karpukhin, N Nadirashvili, AV Penskoi, I Polterovich arXiv preprint arXiv:1706.05713, 2017 | 25 | 2017 |
An isoperimetric inequality for the second non-zero eigenvalue of the Laplacian on the projective plane NS Nadirashvili, AV Penskoi Geometric and Functional Analysis 28 (5), 1368-1393, 2018 | 21 | 2018 |
Extremal metrics for eigenvalues of the Laplace–Beltrami operator on surfaces AV Penskoi Russian Mathematical Surveys 68 (6), 1073, 2013 | 19 | 2013 |
Generalized Lawson tori and Klein bottles AV Penskoi The Journal of Geometric Analysis 25, 2645-2666, 2015 | 18 | 2015 |
On algebro-geometric Poisson brackets for the Volterra lattice AP Veselov, AV Penskoi arXiv preprint math-ph/0010027, 2000 | 13 | 2000 |
Discrete matrix Riccati equations with superposition formulas AV Penskoi, P Winternitz Journal of mathematical analysis and applications 294 (2), 533-547, 2004 | 12 | 2004 |
Lagrangian time-discretization of the Hunter–Saxton equation AV Penskoi Physics Letters A 304 (5-6), 157-167, 2002 | 7 | 2002 |
Two-dimensional algebro-geometric difference operators AA Oblomkov, AV Penskoi Journal of Physics A: Mathematical and General 33 (50), 9255, 2000 | 7 | 2000 |
The Volterra lattice as a gradient flow AV Penskoi arXiv preprint math-ph/0011041, 2000 | 7 | 2000 |
Isoperimetric Inequalities for Higher Eigenvalues of the Laplace—Beltrami Operator on Surfaces AV Penskoi Proceedings of the Steklov Institute of Mathematics 305, 270-286, 2019 | 6 | 2019 |
Metrics extremal for eigenvalues of Laplace–Beltrami operator on surfaces AV Penskoi Uspekhi Mat. Nauk 68 (6), 107-168, 2013 | 6 | 2013 |
Laplace transformations and spectral theory of two-dimensionalsemidiscrete and discrete hyperbolic Schrödinger operators AA Oblomkov, AV Penskoi International Mathematics Research Notices 2005 (18), 1089-1126, 2005 | 5 | 2005 |
Canonically conjugate variables for the Volterra lattice with periodic boundary conditions AV Penskoi Mathematical Notes 64, 98-109, 1998 | 5 | 1998 |
Free boundary minimal surfaces and overdetermined boundary value problems N Nadirashvili, AV Penskoi arXiv preprint arXiv:1812.08943, 2018 | 4 | 2018 |
Метрики, экстремальные для собственных чисел оператора Лапласа–Бельтрами на поверхностях АВ Пенской Успехи математических наук 68 (6 (414), 107-168, 2013 | 4 | 2013 |
Integrable systems and the topology of isospectral manifolds AV Penskoi Theoretical and Mathematical Physics 155, 627-632, 2008 | 4 | 2008 |