Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the viscosity approach to a class of fully nonlinear elliptic
  equations   In this paper, we study some properties of viscosity sub/super-solutions of a
class of fully nonlinear elliptic equations relative to the eigenvalues of the
complex Hessian. We show that every viscosity subsolution is approximated by a
decreasing sequence of smooth subsolutions. When the equations satisfy some
conditions on the limit at infinity, we verify that the comparison principle
holds, and as a sequence, we obtain a result about the existence of solution of
the Dirichlet problem. Using the comparison principle, we show that, under
suitable conditions, a Perron-Bremermann envelope can be approximated by a
decreasing sequence of viscosity solutions.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph