Alessia E. Kogoj

activity

20142017

collaborators

4 papers

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.AP2015

Weighted $L^{p}$ -Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups

Andrea Bonfiglioli, Alessia E. Kogoj

We prove weighted $L^{p}$ -Liouville theorems for a class of second order hypoelliptic partial differential operators $L$ on Lie groups $G$ whose underlying manifol…

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…

math.AP2014

Hardy Type Inequalities for $Δ_{λ}$ -Laplacians

A. E. Kogoj, S. Sonner

We derive Hardy type inequalities for a large class of sub-elliptic operators that belong to the class of $Δ_{λ}$ -Laplacians and find explicit values for the constants involved. Our…

Wiener-Landis criterion for Kolmogorov-type operators

Weighted Lp-Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups

Lp-Liouville Theorems for Invariant Partial Differential Operators in Rn

Hardy Type Inequalities for Δλ​-Laplacians

Weighted $L^{p}$ -Liouville Theorems for Hypoelliptic Partial Differential Operators on Lie Groups

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

Hardy Type Inequalities for $Δ_{λ}$ -Laplacians