Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive stationary solutions for p-Laplacian problems with nonpositive
  perturbation   The paper is devoted to the existence of positive solutions of nonlinear
elliptic equations with $p$-Laplacian. We provide a general topological degree
that detects solutions of the problem $$ \{{array}{l} A(u)=F(u) u\in M {array}.
$$ where $A:X\supset D(A)\to X^*$ is a maximal monotone operator in a Banach
space $X$ and $F:M\to X^*$ is a continuous mapping defined on a closed convex
cone $M\subset X$. Next, we apply this general framework to a class of partial
differential equations with $p$-Laplacian under Dirichlet boundary conditions.

32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
1
The categories of this paper are: cs