Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximum and comparison principles for convex functions on the Heisenberg
  group   We prove estimates, similar in form to the classical Aleksandrov estimates,
for a Monge-Ampere 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-Ampere measures for convex functions in
the Heisenberg group.

24
The categories of this paper are: dg-ga
14
The categories of this paper are: math-ph
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol