  We give an extension to a nonconvex setting of the classical radial
representation result for lower semicontinuous envelope of a convex function on
the boundary of its effective domain. We introduce the concept of radial
uniform upper semicontinuity which plays the role of convexity, and allows to
prove a radial representation result for nonconvex functions. An application to
the relaxation of multiple integrals with constraints on the gradient is given.
