| Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces M Karpukhin, G Kokarev, I Polterovich Annales de l'Institut Fourier 64 (6), 2481-2502, 2014 | 55 | 2014 |
| 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 | 52* | 2021 |
| Index of minimal spheres and isoperimetric eigenvalue inequalities M Karpukhin Inventiones mathematicae 223 (1), 335-377, 2021 | 47 | 2021 |
| Min-max harmonic maps and a new characterization of conformal eigenvalues M Karpukhin, DL Stern arXiv preprint arXiv:2004.04086, 2020 | 37* | 2020 |
| Bounds between Laplace and Steklov eigenvalues on nonnegatively curved manifolds MA Karpukhin arXiv preprint arXiv:1512.09038, 2015 | 34 | 2015 |
| Upper bounds for the first eigenvalue of the Laplacian on non-orientable surfaces MA Karpukhin International Mathematics Research Notices 2016 (20), 6200-6209, 2016 | 33 | 2016 |
| The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander’s rediscovered manuscript A Girouard, M Karpukhin, M Levitin, I Polterovich Journal of Spectral Theory 12 (1), 195-225, 2022 | 31 | 2022 |
| Conformally maximal metrics for Laplace eigenvalues on surfaces M Karpukhin, N Nadirashvili, AV Penskoi, I Polterovich arXiv preprint arXiv:2003.02871, 2020 | 29 | 2020 |
| On branched minimal immersions of surfaces by first eigenfunctions D Cianci, M Karpukhin, V Medvedev Annals of Global Analysis and Geometry 56 (4), 667-690, 2019 | 27 | 2019 |
| On the Yang–Yau inequality for the first Laplace eigenvalue M Karpukhin Geometric and Functional Analysis 29 (6), 1864-1885, 2019 | 26 | 2019 |
| Continuity of eigenvalues and shape optimisation for Laplace and Steklov problems A Girouard, M Karpukhin, J Lagacé Geometric and Functional Analysis 31 (3), 513-561, 2021 | 22 | 2021 |
| Spectral properties of bipolar surfaces to Otsuki tori M Karpukhin Journal of Spectral Theory 4 (1), 87-111, 2014 | 21 | 2014 |
| Laplace and Steklov Extremal Metrics via n-Harmonic Maps M Karpukhin, A Métras The Journal of Geometric Analysis 32 (5), 154, 2022 | 19 | 2022 |
| Spectral Properties of a Family of Minimal Tori of Revolution in the Five-dimensional Sphere M Karpukhin Canadian Mathematical Bulletin 58 (2), 285-296, 2015 | 19 | 2015 |
| Nonmaximality of known extremal metrics on torus and Klein bottle MA Karpukhin Sbornik: Mathematics 204 (12), 1728, 2013 | 15 | 2013 |
| Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces M Karpukhin, M Nahon, I Polterovich, D Stern arXiv preprint arXiv:2106.15043, 2021 | 13 | 2021 |
| The Steklov problem on differential forms MA Karpukhin Canadian Journal of Mathematics 71 (2), 417-435, 2019 | 12 | 2019 |
| The first eigenvalue of the Laplacian on orientable surfaces M Karpukhin, D Vinokurov Mathematische Zeitschrift 301 (3), 2733-2746, 2022 | 11* | 2022 |
| From Steklov to Laplace: free boundary minimal surfaces with many boundary components M Karpukhin, D Stern Duke Mathematical Journal 173 (8), 1557-1629, 2024 | 10 | 2024 |
| Weyl’s law for the Steklov problem on surfaces with rough boundary M Karpukhin, J Lagacé, I Polterovich Archive for Rational Mechanics and Analysis 247 (5), 77, 2023 | 8 | 2023 |
Alexei V. Penskoi1) МГУ им. М.В. Ломоносова, 2) НИУ Высшая школа экономикиVerified email at higeom.math.msu.su
