5 citations · 6 across the 2 of their papers we have counts for
3 papers
math.AP2017★ 5 cited
A Ginzburg-Landau model with topologically induced free discontinuities
Michael Goldman, Benoît Merlet, Vincent Millot
We study a variational model which combines features of the Ginzburg-Landau model in 2D and of the Mumford-Shah functional. As in the classical Ginzburg-Landau theory, a prescribed…
math.AP2017★ 1 cited
Minimizing fractional harmonic maps on the real line in the supercritical regime
Vincent Millot, Yannick Sire, Hui Yu
This article addresses the regularity issue for minimizing fractional harmonic maps of order from an interval into a smooth manifold. Hölder continuity away from a lo…
math.AP2010
A quantitative isoperimetric inequality for fractional perimeters
Nicola Fusco, Vincent Millot, Massimiliano Morini
Recently Frank and Seiringer have shown an isoperimetric inequality for nonlocal perimeter functionals arising from Sobolev seminorms of fractional order. This isoperimetric inequa…