Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximality of the sum of the subdifferential operator and a maximally
  monotone operator   The most important open problem in Monotone Operator Theory concerns the
maximal monotonicity of the sum of two maximally monotone operators provided
that the classical Rockafellar's constraint qualification holds, which is
called the "sum problem".
  In this paper, we establish the maximal monotonicity of $A+B$ provided that
$A$ and $B$ are maximally monotone operators such that $\dom A\cap\inte\dom
B\neq\varnothing$, and $A+N_{\overline{\dom A}}$ is of type (FPV). This
generalizes various current results and also gives an affirmative answer to a
problem posed by Borwein and Yao. Moreover, we present an equivalent
description of the sum problem.

17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
26
The categories of this paper are: bayes-an
23
The categories of this paper are: solv-int
6
The categories of this paper are: astro-ph
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th