Weak convergence is a basic tool of modern nonlinear analysis because it enjoys the same
compactness properties that finite dimensional spaces do: basically, bounded sequences …

The relaxation method has enjoyed an intensive development during many decades and
this new edition of this comprehensive text reflects in particular the main achievements in the …

The calculus of variations has its roots in the first problems of optimality studied in classical
antiquity by Archimedes (ca. 287–212 BC in Syracuse, Magna Graecia) and Zenodorus (ca …

Generalized Young measures as introduced by DiPerna and Majda (Commun Math Phys
108: 667–689, 1987) provide a quantitative tool for studying the one-point statistics of …

In this paper we adopt the approach initiated by Balder in 11] for the study of multiple
integrals on Lebesgue spaces, and use Young measures to obtain new lower semicontinuity …

In their seminal paper, D i P erna and M ajda (Commun Math Phys 108 (4): 667–689, 1987)
introduced the notion of a measure-valued solution for the incompressible Euler equations …

Minimization is a recurring theme in many mathematical disciplines ranging from pure to
applied. Of particular importance is the minimization of integral functionals, which is studied …

DiPerna's and Majda's generalization of Young measures is used to describe oscillations
and concentrations in sequences of maps. This convergence holds, for example, under …

This work establishes a characterization theorem for (generalized) Young measures
generated by symmetric derivatives of functions of bounded deformation (BD) in the spirit of …

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