Double phase quasiconvex functionals and their partial regularity theory

Sunwoo Jeong, Jihoon Ok

We consider degenerate nonautonomous energies $${\int }_{\Omega }f(x,Dv)dx,$$ for vector-valued functions $v\in W^{1,1}(\Omega ,{\mathbb{R}}^N)$, where the integrand $f(x,P)$ satisfies growth…