Conditions on integral functional implying validity of the theory of weak convergence
In this Doklady paper the author announces four theorems which give conditions implying validity of the theory of weak convergence (lower semicontinuity, relaxation, convergence with a functional, lower semicontinuous envelope). As a main auxiliary result a characterization of L-gradient Young measures serves, which was already proved under special conditions by \textit{D. Kinderlehrer} and \textit{P. Pedregal} [J. Geom. Anal. 4, No. 1, 59--90 (1994; Zbl 0808.46046)].
scientific article; zbMATH DE number 5998452