Ermanno Lanconelli

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math.AP2023

On the harmonic characterization of the spheres: a sharp stability inequality and some of its consequences

Giovanni Cupini, Ermanno Lanconelli

Let $D$ be a bounded open subset of $R^{n}$ with $∣ \partial D ∣ < \infty$ and let $x_{0}$ be a point of $D$ . We introduce a new parameter, that we call Kuran gap of $\partial…

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…

math.AP2014

$L^{p}$ -Liouville Theorems for Invariant Partial Differential Operators in $R^{n}$

Alessia E. Kogoj, Ermanno Lanconelli

We prove some $L^{p}$ -Liouville theorems for hypoelliptic second order Partial Differential Operators left translation invariant with respect to a Lie group composition law in $\math…

On the harmonic characterization of the spheres: a sharp stability inequality and some of its consequences

Wiener-Landis criterion for Kolmogorov-type operators

Lp-Liouville Theorems for Invariant Partial Differential Operators in Rn

$L^{p}$ -Liouville Theorems for Invariant Partial Differential Operators in $R^{n}$