4 papers · 1 filter
Constraint maps and free boundaries
Alessio Figalli, André Guerra, Sunghan Kim +1
In this short expository note, we present a selection of classic and recent ideas in free boundary theory, with a focus on the vectorial case, referred to here as constraint maps.…
On the existence of degenerate solutions of the two-dimensional -system
André Guerra, Xavier Lamy, Konstantinos Zemas
We consider entire solutions of the -system which we refer to as bubbles. Surprisingly, and contrary to conjectures r…
Constraint maps: singularities vs free boundaries
Alessio Figalli, André Guerra, Sunghan Kim +1
Energy-minimizing constraint maps are a natural extension of the obstacle problem within a vectorial framework. Due to inherent topological constraints, these maps manifest a diver…
Optimal quantitative stability of the Möbius group of the sphere in all dimensions
André Guerra, Xavier Lamy, Konstantinos Zemas
In any dimension , we prove an optimal stability estimate for the Möbius group among maps , of the form $\inf_{λ>0,ϕ\in \mathrm{Mö…