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

Alessia E. Kogoj; Ermanno Lanconelli

arxiv: 1411.5238 · v1 · pith:KZN4HGQLnew · submitted 2014-11-19 · 🧮 math.AP

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

Alessia E. Kogoj , Ermanno Lanconelli This is my paper

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keywords differentialinvariantliouvillemathbboperatorspartialtheoremscomposition

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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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