6 citations · 6 across the 5 of their papers we have counts for
6 papers
Rigidity and functional properties of
Marco Caroccia, Nicolas Van Goethem
We provide a structural analysis of the space of functions of bounded deviatoric deformation, , which arises in models of plasticity and fluid mechanics. The mai…
Iterative blow-ups for maps with bounded -variation: a refinement, with application to and
Marco Caroccia, Nicolas Van Goethem
We refine the iterated blow-up techniques. This technique, combined with a rigidity result and a specific choice of the kernel projection in the Poincaré inequality, might be emplo…
On the integral representation of variational functionals on
Marco Caroccia, Matteo Focardi, Nicolas Van Goethem
Following the global method for relaxation we prove an integral representation result for a large class of variational functionals naturally defined on the space of functions with…
The non-Riemannian dislocated crystal: a tribute to Ekkehart Kröner (1919-2000)
Nicolas Van Goethem
This expository paper is a tribute to Ekkehart Kröner's results on the intrinsic non-Riemannian geometrical nature of a single crystal filled with point and/or line defects. A new…
A distributional approach to the geometry of dislocations at the mesoscale
Nicolas Van Goethem, F. Dupret
We develop a theory to represent dislocated single crystals at the mesoscopic scale by considering concentrated effects, governed by the distribution theory combined with multiple-…
Variational problems on classes of convex domains
Nicolas Van Goethem
We prove the existence of minimizers for functionals defined over the class of convex domains contained inside a bounded set D of R^N and with prescribed volume. Some applications…