Maximum principle on unbounded domains for sub-Laplacians: A potential theory approach

Bonfiglioli, Andrea; Lanconelli, Ermanno

doi:10.1090/S0002-9939-02-06569-3

Maximum principle on unbounded domains for sub-Laplacians: A potential theory approach
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by Andrea Bonfiglioli and Ermanno Lanconelli PDF

Proc. Amer. Math. Soc. 130 (2002), 2295-2304 Request permission

Abstract:

The maximum principle on a wide class of unbounded domains is proved for solutions to the partial differential inequality $\Delta _{\mathbb {G}}u+c u\geq 0$, where $c\leq 0$ and $\Delta _{\mathbb {G}}$ is a real sub-Laplacian. A potential theory approach is followed.

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