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arXiv · 1411.5238

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

Alessia E. Kogoj·Ermanno Lanconelli
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Abstract

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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Alessia E. Kogoj, Ermanno Lanconelli. 2014-11-19. ${L^p}$-Liouville Theorems for Invariant Partial Differential Operators in ${\mathbb{R}^n}$. https://arxiv.org/abs/1411.5238

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