Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the general Toda system with multiple singular points   In this paper, we consider the following elliptic Toda system associated to a
general simple Lie algebra with multiple singular sources \begin{equation*}
\begin{cases} -\Delta
w_i=\sum_{j=1}^na_{i,j}e^{2w_j}+2\pi\sum_{\ell=1}^m\beta_{i,\ell}\delta_{p_\ell}
\quad&\mbox{in}\quad\mathbb{R}^2,\\ \\
w_i(x)=-2\log|x|+O(1)~\mbox{as}~|x|\to\infty,\quad &i=1,\cdots,n, \end{cases}
\end{equation*} where $\beta_{i,\ell}\in[0,1)$. Under some suitable assumption
on $\beta_{i,\ell}$ we establish the existence and non-existence results. This
paper generalizes Luo-Tian's [19] and Hyder-Lin-Wei's [10] results to the
general Toda system.

26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an