Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Sequential and exact formulae for the subdifferential of nonconvex
  integral functionals   This work concerns the study of the subdifferential of the integral
functional
  $$
  E_f(x)=\int_{T} f(t,x)d\mu(t),
  $$ where $f$ is a (not necessarily convex) normal integrand,
$({T},\mathcal{A},\mu)$ is a $\sigma$-finite measure space, while the decision
variables vary in a separable Asplund space.
  First, using techniques of variational analysis we establish sequential
approximate formulae for the Fr\'echet subdifferential of $E_f$. Secondly, we
introduce a Lipschitz-like condition, which allows us to give an
upper-estimation for the limiting subdifferential of $E_{f}$ even when this
functional is non-Lipschitz.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex