Young measures, relaxation of functionals and existence results without weak lower semicontinuity
Gilles Aubert, Rabah Tahraoui · Advances in Differential Equations · 1998
In this paper, we give new optimality conditions in terms of Young measures for nonconvex minimization problems of type Inf${\int _\Omega} f \bigl(x, u(x), Du(x) \bigr)\,dx$. The analysis of these conditions allows us to find sufficient assumptions for the existence of a minimum.