Mikhail Karpukhin

activity

20132026

most citedFrom Steklov to Laplace: free boundary minimal surfaces with many boundary components

3 citations · 6 across the 9 of their papers we have counts for

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math.DG2025

Existence of metrics maximizing the first Laplace eigenvalue on closed surfaces

Mikhail Karpukhin, Romain Petrides, Daniel Stern

Building on seminal work of Nadirashvili and previous work of the authors, we prove the existence of metrics maximizing the area-normalized first eigenvalue of the Laplacian on eve…

math.DG2025

Large topology asymptotics for spectrally extremal minimal surfaces in $B^{3}$ and $S^{3}$

Mikhail Karpukhin, Peter McGrath, Daniel Stern

In recent work with Kusner, we developed a method, based on the equivariant optimization of Laplace and Steklov eigenvalues, for producing minimal surfaces of prescribed topology i…

Existence of metrics maximizing the first Laplace eigenvalue on closed surfaces

Large topology asymptotics for spectrally extremal minimal surfaces in B3 and S3

Large topology asymptotics for spectrally extremal minimal surfaces in $B^{3}$ and $S^{3}$