1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.DG2023
Dirac Eigenvalue Optimisation and Harmonic Maps to Complex Projective Spaces
Mikhail Karpukhin, Antoine Métras, Iosif Polterovich
Consider a Dirac operator on an oriented compact surface endowed with a Riemannian metric and spin structure. Provided the area and the conformal class are fixed, how small can the…
math.DG2022
Existence of harmonic maps and eigenvalue optimization in higher dimensions
Mikhail Karpukhin, Daniel Stern
We prove the existence of nonconstant harmonic maps of optimal regularity from an arbitrary closed manifold of dimension to any closed, non-aspherical manifold …
math.SP2022★ 1 cited
Flexibility of Steklov eigenvalues via boundary homogenisation
Mikhail Karpukhin, Jean Lagacé
Recently, D. Bucur and M. Nahon used boundary homogenisation to show the remarkable flexibility of Steklov eigenvalues of planar domains. In the present paper we extend their resul…