4 papers
ACF Almost Monotonicity at Infinity with Applications to Perturbed Global Solutions
Simon Eberle, Anthony Salib, Georg S. Weiss +1
We study the large-scale behavior of the coincidence set of perturbations of global solutions to the classical obstacle problem in , with blow-down invar…
Constraint Maps: Insights and Related Themes
Alessio Figalli, André Guerra, Sunghan Kim +1
This paper explores recent progress related to constraint maps. Building on the exposition in [14], our goal is to provide a clear and accessible account of some of the more intric…
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.…
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…