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

preprint2014arXivOpen access

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 $\mathbb{R}^n$ . Results for both solutions and subsolutions are given.

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

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