Maximum and comparison principles for convex functions on the Heisenberg group
Genre
Journal ArticleDate
2004-09-01Author
Gutiérrez, CEMontanari, A
Subject
convex functions on the Heisenberg groupnull Lagrangian property
maximum principle
oscillation estimate
Monge-Ampere measures
comparison principle
Permanent link to this record
http://hdl.handle.net/20.500.12613/6120
Metadata
Show full item recordDOI
10.1081/PDE-200037752Abstract
We prove estimates, similar in form to the classical Aleksandrov estimates, for a Monge-Ampère type operator on the Heisenberg group. A notion of normal mapping does not seem to be available in this context and the method of proof uses integration by parts and oscillation estimates that lead to the construction of an analogue of Monge-Ampère measures for convex functions in the Heisenberg group.Citation to related work
Informa UK LimitedHas part
Communications in Partial Differential EquationsADA compliance
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http://dx.doi.org/10.34944/dspace/6102