Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Lewy-Stampacchia Estimate for quasilinear variational inequalities in
  the Heisenberg group   We consider an obstacle problem in the Heisenberg group framework, and we
prove that the operator on the obstacle bounds pointwise the operator on the
solution. More explicitly, if $\epsilon\ge0$ and $\bar u_\epsilon$ minimizes
the functional $$ \int_\Omega(\epsilon+|\nabla_{\H^n}u|^2)^{p/2}$$ among the
functions with prescribed Dirichlet boundary condition that stay below a smooth
obstacle $\psi$, then 0 \le \div_{\H^n}\, \Big((\epsilon+|\nabla_{\H^n}\bar
u_\epsilon|^2)^{(p/2)-1} \nabla_{\H^n}\bar u_\epsilon\Big) \qquad \le
(\div_{\H^n}\, \Big((\epsilon+|\nabla_{\H^n}\psi|^2)^{(p/2)-1}
\nabla_{\H^n}\psi\Big))^+.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
1
The categories of this paper are: cs
23
The categories of this paper are: solv-int
7
The categories of this paper are: hep-th
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
10
The categories of this paper are: q-bio
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
22
The categories of this paper are: chao-dyn