Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fully nonlinear elliptic equations with gradient terms on compact almost
  Hermitian manifolds   In this paper, we establish second order estimates for a general class of
fully nonlinear equations with linear gradient terms on compact almost
Hermitian manifolds. As an application, we first prove the existence of
solutions for the Monge-Amp\`ere equation with linear gradient terms for
$(n-1)$-plurisubharmonic functions, originated from Gaudochon conjecture, in
the almost Hermitian setting. Second, we solve the Monge-Amp\`ere equation and
Hessian equations with linear gradient terms. Third, we give the $C^{\infty}$ a
priori estimates for the deformed Hermitian-Yang-Mills equation with
supercritical phase. At last, we prove the existence of deformed
Hermitian-Yang-Mills equation and complex Hessian quotient equations under
supersolutions.

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The categories of this paper are: gr-qc
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
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The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
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The categories of this paper are: hep-th
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The categories of this paper are: stat
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The categories of this paper are: econ
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: comp-gas