Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral representation for a class of $C^1$-convex functionals   In view of the applications to the asymptotic analysis of a family of
obstacle problems, we consider a class of convex local functionals $F(u,A)$,
defined for all functions $u$ in a suitable vector valued Sobolev space and for
all open sets $A$ in ${\bf R}^n$. Sufficient conditions are given in order to
obtain an integral representation of the form $F(u,A)=\int_A f(x,u(x))\,d\mu +
\nu(A)$, where $\mu$ and $\nu$ are Borel measures and $f$ is convex in the
second variable.

18
The categories of this paper are: econ
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio