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 …

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 …

We present a systematic treatment of the theory of Compensated Compactness under
Murat's constant rank assumption. We give a short proof of a sharp weak lower …

We show that for constant rank partial differential operators A whose wave cones are
spanning, generalized Young measures generated by bounded sequences of A-free …

We study delamination of two elastic bodies glued together by an adhesive that can undergo
a unidirectional inelastic rate-independent process. The quasistatic delamination process is …

We give two characterizations, one for the class of generalized Young measures generated
by\, A\, A-free measures and one for the class generated by B B-gradient measures B u B u …

Can every measure-valued solution to the compressible Euler equations be approximated
by a sequence of weak solutions? We prove that the answer is negative: generalizing a well …

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

We derive, by means of variational techniques, a limiting description for a class of integral
functionals under linear differential constraints. The functionals are designed to encode the …