  We show how to infer sharp partial regularity results for relaxed minimizers
of degenerate, nonuniformly elliptic quasiconvex functionals, using tools from
Nonlinear Potential Theory. In particular, in the setting of functionals with
$(p,q)$-growth - according to the terminology of Marcellini [52] - we derive
optimal local regularity criteria under minimal assumptions on the data.
