abstract: Relaxation processes are described for non-convex homogeneous integral functionals with densities taking extended real values, without assuming the classical convexity hypothesis on the finiteness sets of the integrands. Applications are given to the descriptions of various closures of the sets of the solutions of some classes of differential inclusions and Hamilton-Jacobi equations. As consequence, suitable relaxed selection criteria for such solutions are proposed.
DeArcangelis.pdf