We outline an approach to study the properties of nonlinear partial differential equations
through the geometric properties of a set in the space of mxn matrices which is naturally …

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 …

In recent years, technological progress created a great need for complex mathematical
models. Many practical problems can be formulated using optimization theory and they hope …

In this paper we present the homogenization for nonlinear viscoelastic second-grade non-
simple perforated materials at large strain in the quasistatic setting. The reference domain Ω …

We derive geometrically linearized theories for incompressible materials from nonlinear
elasticity theory in the small displacement regime. Our nonlinear stored energy densities …

This paper deals with the large-scale behaviour of dynamical optimal transport on Z d-
periodic graphs with general lower semicontinuous and convex energy densities. Our main …

Electro-or magneto-sensitive elastomers are smart materials whose mechanical properties
change instantly by the application of an electric or magnetic field. This paper analyses the …

Two Γ-convergence results for a general class of power-law functionals are obtained in the
setting of A-quasiconvexity. New variational principles in L^∞ are introduced, allowing for …

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 …