Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlocal elliptic problems with nonlinear argument transformations near
  the points of conjugation   We consider elliptic equations of order $2m$ in a domain $G\subset\mathbb
R^n$ with nonlocal conditions that connect the values of the unknown function
and its derivatives on $(n-1)$-dimensional submanifolds $\Upsilon_i$ (where
$\bigcup_i\Upsilon_i=\partial G$) with the values on
$\omega_{is}(\overline\Upsilon_i)\subset\overline G$. Nonlocal elliptic
problems in dihedral angles arise as model problems near the conjugation points
$g\in\overline\Upsilon_i\cap\Upsilon_j\ne\varnothing$, $i\ne j$. We study the
case where the transformations $\omega_{is}$ correspond to nonlinear
transformations in the model problems. It is proved that the operator of the
problem remains Fredholm and its index does not change as we pass from linear
argument transformations to nonlinear ones.

32
The categories of this paper are: atom-ph
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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
18
The categories of this paper are: econ
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics