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math.AP2025
Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant
André Guerra, Xavier Lamy, Konstantinos Zemas
We prove that, modulo rigid motions, the Hopf map is the unique minimizer of the Faddeev--Skyrme energy in its homotopy class, provided that the radius of the target 2-sphere is no…
math.AP2025
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…