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math.AP2025
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…
math.AP2025
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…
math.AP2019
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…