Poincaré trace inequalities in $BV({\mathbb{B}}^n)$ with nonstandard normalization

Andrea Cianchi, Vincenzo Ferone, Carlo Nitsch +1

Extremal functions are exhibited in Poincaré trace inequalities for functions of bounded variation in the unit ball ${\mathbb{B}}^n$ of the $n$-dimensional Euclidean space ${\mathbb…