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.References
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Additional Information
- Andrea Bonfiglioli
- Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5 - 40126 Bologna, Italia
- Email: bonfigli@dm.unibo.it
- Ermanno Lanconelli
- Affiliation: Dipartimento di Matematica, Università degli Studi di Bologna, Piazza di Porta S. Donato, 5 - 40126 Bologna, Italia
- Email: lanconel@dm.unibo.it
- Received by editor(s): January 4, 2001
- Published electronically: March 8, 2002
- Additional Notes: Investigation supported by University of Bologna, funds for selected research topics.
- Communicated by: Juha M. Heinonen
- © Copyright 2002 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 2295-2304
- MSC (2000): Primary 35B50, 31C05, 35J70
- DOI: https://doi.org/10.1090/S0002-9939-02-06569-3
- MathSciNet review: 1896411