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Maximum principle on unbounded domains for sub-Laplacians: A potential theory approach
Author(s):
Andrea
Bonfiglioli;
Ermanno
Lanconelli
Journal:
Proc. Amer. Math. Soc.
130
(2002),
2295-2304.
MSC (2000):
Primary 35B50, 31C05, 35J70
Posted:
March 8, 2002
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Abstract:
The maximum principle on a wide class of unbounded domains is proved for solutions to the partial differential inequality  , where  and  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
DOI:
10.1090/S0002-9939-02-06569-3
PII:
S 0002-9939(02)06569-3
Received by editor(s):
January 4, 2001
Posted:
March 8, 2002
Additional Notes:
Investigation supported by University of Bologna, funds for selected research topics.
Communicated by:
Juha M. Heinonen
Copyright of article:
Copyright
2002,
American Mathematical Society
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