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math.DG2021★ 3 cited
From Steklov to Laplace: free boundary minimal surfaces with many boundary components
Mikhail Karpukhin, Daniel Stern
In the present paper, we study sharp isoperimetric inequalities for the first Steklov eigenvalue on surfaces with fixed genus and large number of boundary components. We…
math.DG2021
Spherical conical metrics and harmonic maps to spheres
Mikhail Karpukhin, Xuwen Zhu
A spherical conical metric on a surface is a metric of constant curvature with finitely many isolated conical singularities. The uniformization problem for such metrics…