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Mikhail Karpukhin
Mikhail Karpukhin
Verified email at caltech.edu - Homepage
Title
Cited by
Cited by
Year
Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
M Karpukhin, G Kokarev, I Polterovich
Annales de l'Institut Fourier 64 (6), 2481-2502, 2014
512014
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
50*2021
Index of minimal spheres and isoperimetric eigenvalue inequalities
M Karpukhin
Inventiones mathematicae 223 (1), 335-377, 2021
432021
Min-max harmonic maps and a new characterization of conformal eigenvalues
M Karpukhin, DL Stern
arXiv preprint arXiv:2004.04086, 2020
352020
Bounds between Laplace and Steklov eigenvalues on nonnegatively curved manifolds
MA Karpukhin
arXiv preprint arXiv:1512.09038, 2015
312015
Upper bounds for the first eigenvalue of the Laplacian on non-orientable surfaces
MA Karpukhin
International Mathematics Research Notices 2016 (20), 6200-6209, 2016
302016
Conformally maximal metrics for Laplace eigenvalues on surfaces
M Karpukhin, N Nadirashvili, AV Penskoi, I Polterovich
arXiv preprint arXiv:2003.02871, 2020
282020
On the Yang–Yau inequality for the first Laplace eigenvalue
M Karpukhin
Geometric and Functional Analysis 29 (6), 1864-1885, 2019
252019
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
252019
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
222022
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
212021
Spectral properties of bipolar surfaces to Otsuki tori
M Karpukhin
Journal of Spectral Theory 4 (1), 87-111, 2014
192014
Laplace and Steklov Extremal Metrics via n-Harmonic Maps
M Karpukhin, A Métras
The Journal of Geometric Analysis 32 (5), 154, 2022
182022
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
182015
Nonmaximality of known extremal metrics on torus and Klein bottle
MA Karpukhin
Sbornik: Mathematics 204 (12), 1728, 2013
142013
Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces
M Karpukhin, M Nahon, I Polterovich, D Stern
arXiv preprint arXiv:2106.15043, 2021
112021
The Steklov problem on differential forms
MA Karpukhin
Canadian Journal of Mathematics 71 (2), 417-435, 2019
112019
The first eigenvalue of the Laplacian on orientable surfaces
M Karpukhin, D Vinokurov
Mathematische Zeitschrift 301 (3), 2733-2746, 2022
9*2022
From Steklov to Laplace: free boundary minimal surfaces with many boundary components
M Karpukhin, D Stern
arXiv preprint arXiv:2109.11029, 2021
92021
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
72023
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Articles 1–20