A nonautonomous chain rule in $W^{1,p}$ and $BV$

Luigi Ambrosio, Graziano Crasta, Virginia De Cicco +1

In this paper we consider the chain rule formula for compositions $x\mapsto F(x,u(x))$ in the case when $u$ has a Sobolev or BV regularity and $F(x,z)$ is separately Sobolev, or B…