Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Viscosity solutions to complex first eigenvalue equations   We study the viscosity solutions to the first eigenvalue equation. We
consider $\Omega$ a bounded B-regular domain in $\mathbb{C}^n$ and we prove
that the Dirichlet problem $\Lambda_{1}(D_{\mathbb{C}}^2 u)=f$ in $\Omega$ and
$u=\varphi$ on $\partial\Omega$ admits a unique viscosity solution. We also
deal with viscosity theory for operators which are comparable to the first
eigenvalue operator.

19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: q-fin