Karpukhin, Mikhail

1. Min-max harmonic maps and a new characterization of conformal eigenvalues
   2020/04/08 by Mikhail Karpukhin, Karpukhin, Mikhail, Daniel Stern +1 · 6 citations
   Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #Spectral Theory (math.SP)
2. Multiplicity bounds for Steklov eigenvalues on Riemannian surfaces
   2012/09/21 by Karpukhin, Mikhail, Kokarev, Gerasim, Polterovich, Iosif · 4 citations
   #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
3. An isoperimetric inequality for Laplace eigenvalues on the sphere
   2017/06/18 by Karpukhin, Mikhail, Nadirashvili, Nikolai, Penskoi, Alexei V. +1 · 3 citations
   #53C42 #58E11 #58J50 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
4. Existence of harmonic maps and eigenvalue optimization in higher dimensions
   2022/07/27 by Mikhail Karpukhin, Daniel Stern, Karpukhin, Mikhail +1 · 3 citations
   Computer Science · Engineering · #Advanced Mathematical Modeling in Engineering #Advanced Numerical Methods in Computational Mathematics #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP) #Topology Optimization in Engineering
5. Conformally maximal metrics for Laplace eigenvalues on surfaces
   2020/03/05 by Mikhail Karpukhin, Karpukhin, Mikhail, Nikolaï Nadirashvili +5 · 2 citations
   Computer Science · Mathematics · #53C42 #58E11 #8J50 #Advanced Mathematical Modeling in Engineering #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Nonlinear Partial Differential Equations #Spectral Theory (math.SP)
6. The Dirichlet-to-Neumann map, the boundary Laplacian, and Hörmander's rediscovered manuscript
   2021/02/12 by Girouard, Alexandre, Karpukhin, Mikhail, Levitin, Michael +1 · 2 citations
   #Differential Geometry (math.DG) #FOS: Mathematics #Primary 58J50. Secondary 35P20 #Spectral Theory (math.SP)
7. Laplace and Steklov extremal metrics via n-harmonic maps
   2021/03/28 by Karpukhin, Mikhail, Métras, Antoine · 3 citations
   #58C40 #58E11 #58E20 #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
8. Steklov problem on differential forms
   2017/05/24 by Karpukhin, Mikhail · 1 citation
   #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
9. Conformal invariants from nodal sets II. Manifolds with boundary
   2019/05/15 by Cox, Graham, Jakobson, Dmitry, Karpukhin, Mikhail +1 · 1 citation
   #53A30 #53A55 #53C21 #58J50 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
10. Index of minimal spheres and isoperimetric eigenvalue inequalities
    2019/05/08 by Karpukhin, Mikhail · 1 citation
    #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
11. Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces
    2021/06/29 by Karpukhin, Mikhail, Nahon, Mickaël, Polterovich, Iosif +1 · 1 citation
    #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
12. From Steklov to Laplace: free boundary minimal surfaces with many boundary components
    2021/09/22 by Karpukhin, Mikhail, Stern, Daniel · 1 citation
    #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)
13. Spherical conical metrics and harmonic maps to spheres
    2021/04/21 by Karpukhin, Mikhail, Zhu, Xuwen · 1 citation
    #Differential Geometry (math.DG) #FOS: Mathematics #Spectral Theory (math.SP)