Characterization of the behavior of integral functionals on weakly convergent sequences in terms of the theory of Young measures
This paper deals with integral functionals of the form \(I(u)=\int_\Omega L(x,u(x),Du(x)) dx\) with \(L:R^n\times R^m\times R^{nm}\to R \). The author gives a review on lower semicontinuity results for such functionals, for the weak topology of Sobolev spaces. A characterization of \(p\)-gradient Young measures is also established.
scientific article; zbMATH DE number 1557545