Ornelas proves the existence of absolutely continuous functions, which minimize the nonconvex integral under fairly general assumptions of lower semicontinuity, boundedness below, and superlinear growth at infinity of h in the variable x0(.). It is shown that the minimizers satisfy several regularity properties.
This is a very good contribution to the theory of calculus of variations since it deals with nonconvex integrals. The paper is research-oriented, and has links to applications. It is well written and well documented.
