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math.AP2018★ 1 cited
A compactness result for the Sobolev embedding via potential theory
Filippo Camellini, Michela Eleuteri, Sergio Polidoro
In this note we give a proof of the Sobolev and Morrey embedding theorems based on the representation of functions in terms of the fundamental solution of suitable partial differen…
math.AP2018★ 10 cited
A geometric statement of the Harnack inequality for a degenerate Kolmogorov equation with rough coefficients
Francesca Anceschi, Michela Eleuteri, Sergio Polidoro
We consider weak solutions of degenerate second order partial differential equations of Kolmogorov-Fokker-Planck type with measurable coefficients in divergence form. We give a geo…