Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The abstract Lewy-Stampacchia inequality and applications   We prove an abstract and general version of the Lewy-Stampacchia inequality.
We then show how to reproduce more classical versions of it and, more
importantly, how it can be used in conjunction with Laplacian comparison
estimates to produce large class of functions with bounded Laplacian on spaces
with a lower bound on the Ricci curvature.

14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
20
The categories of this paper are: acc-phys