Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $p$-Laplace equations with singular weights   We study a class of $p$-Laplacian Dirichlet problems with weights that are
possibly singular on the boundary of the domain, and obtain nontrivial
solutions using Morse theory. In the absence of a direct sum decomposition, we
use a cohomological local splitting to get an estimate of the critical groups.

11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
23
The categories of this paper are: solv-int