Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Degree for weakly upper semicontinuous perturbations of
  quasi-$m$-accretive operators   In the paper we provide the construction of a coincidence degree being a
homotopy invariant detecting the existence of solutions of equations or
inclusions of the form $Ax\in F(x)$, $x\in U$, where $A\colon D(A)\multimap
  E$ is an $m$-accretive operator in a Banach space $ E$, $F\colon K\multimap
E$ is a weakly upper semicontinuous set-valued map constrained to an open
subset $U$ of a closed set $K\subset E$. Two different approaches will be
presented. The theory is applied to show the existence of nontrivial positive
solutions of some nonlinear second order partial differential equations with
discontinuities.

35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int