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math.AP2023
Overdetermined problems for gauge balls in the Heisenberg group
Vittorio Martino, Giulio Tralli
In this paper we aim at characterizing the gauge balls in the Heisenberg group as the only domains where suitable overdetermined problems of Serrin type can be solve…
math.AP2023
A new proof of the geometric Sobolev embedding for generalised Kolmogorov operators
Nicola Garofalo, Giulio Tralli
In this note we revisit a result in [9], where we established nonlocal isoperimetric inequalities and the related embeddings for Besov spaces adapted to a class of Hörmander operat…
math.AP2017
Wiener-Landis criterion for Kolmogorov-type operators
A. E. Kogoj, E. Lanconelli, G. Tralli
We establish a necessary and sufficient condition for a boundary point to be regular for the Dirichlet problem related to a class of Kolmogorov-type equations. Our criterion is ins…