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math.AP2019★ 11 cited
Integral representation of local left--invariant functionals in Carnot groups
Alberto Maione, Eugenio Vecchi
The aim of this note is to prove a representation theorem for left--invariant functionals in Carnot groups. As a direct consequence, we can also provide a -convergence result fo…
math.AP2019
A symmetry result for cooperative elliptic systems with singularities
Stefano Biagi, Enrico Valdinoci, Eugenio Vecchi
We obtain symmetry results for solutions of an elliptic system of equation possessing a cooperative structure. The domain in which the problem is set may possess "holes" or "small…