Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonexistence result for a semilinear elliptic problem   In this paper we prove the nonexistence of nontrivial solution to
\begin{equation*} \begin{cases} -\Delta u =f(u) &\text{in }\Omega, \\ u=0
&\text{on } \partial \Omega, \end{cases} \end{equation*} being $\Omega \subset
\mathbb{R}^N$ ($N\in \mathbb{N}$) a bounded domain and $f$ locally Lispchitz
with non-positive primitive.

27
The categories of this paper are: comp-gas
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The categories of this paper are: funct-an
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph