13 citations · 17 across the 5 of their papers we have counts for
9 papers · 1 filter
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…
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.…
Convergence of the self-dual -Yang-Mills-Higgs energies to the -area functional
Davide Parise, Alessandro Pigati, Daniel Stern
Given a hermitian line bundle on a closed Riemannian manifold , the self-dual Yang-Mills-Higgs energies are a natural family of functionals \begin{align*} &E_ε(u,…
Scalar curvature and harmonic one-forms on three-manifolds with boundary
Hubert L. Bray, Daniel L. Stern
For a homotopically energy-minimizing map on a compact, oriented -manifold with boundary, we establish an identity relating the average Euler characteristic…
Harmonic Functions and The Mass of 3-Dimensional Asymptotically Flat Riemannian Manifolds
Hubert L. Bray, Demetre P. Kazaras, Marcus A. Khuri +1
An explicit lower bound for the mass of an asymptotically flat Riemannian 3-manifold is given in terms of linear growth harmonic functions and scalar curvature. As a consequence, a…
Scalar curvature and harmonic maps to
Daniel Stern
For a harmonic map on a closed, oriented --manifold, we establish the identity $$2π\int_{θ\in S^1}χ(Σ_θ)\geq \frac{1}{2}\int_{θ\in S^1}\int_{Σ_θ}(|du|^{-2}|Hess(u…