activity
20122025
most citedMaximal metrics for the first Steklov eigenvalue on surfaces

4 citations · 5 across the 9 of their papers we have counts for

collaborators
Showing 2021 · math.DGShow all

2 papers · 2 filters

math.DG2021

Stability of isoperimetric inequalities for Laplace eigenvalues on surfaces

Mikhail Karpukhin, Mickaël Nahon, Iosif Polterovich +1

We prove stability estimates for the isoperimetric inequalities for the first and the second nonzero Laplace eigenvalues on surfaces, both globally and in a fixed conformal class.…

math.DG2021

Laplace and Steklov extremal metrics via -harmonic maps

Mikhail Karpukhin, Antoine Métras

We present a unified description of extremal metrics for the Laplace and Steklov eigenvalues on manifolds of arbitrary dimension using the notion of -harmonic maps. Our approach…