40 citations · 67 across the 16 of their papers we have counts for
17 papers
The Parabolic -Higgs Equations and Codimension-two Mean Curvature Flows
Davide Parise, Alessandro Pigati, Daniel Stern
We develop the asymptotic analysis as for the natural gradient flow of the self-dual -Higgs energies $$E_ε(u,\nabla)=\int_M\left(|\nabla u|^2+ε^2|F_{\nabla}|^2+\frac…
The Pan-STARRS1 Quasar Survey: III. The Quasar Luminosity Function
Jan-Torge Schindler, Eduardo Bañados, Thomas Connor +9
We present the type-1 quasar luminosity function (QLF) based on the Pan-STARRS1 (PS1) quasar survey. The PS1 sample includes 125 quasars at with $…
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 …
Quantization and non-quantization of energy for higher-dimensional Ginzburg-Landau vortices
Alessandro Pigati, Daniel Stern
Given a family of critical points for the complex Ginzburg--Landau energies \begin{align*} &E_ε(u)=\int_{M}\left(\frac{|du|^2}{2}+\frac{(1-|u|^2)^2}{4ε^2}\ri…
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.…