Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral representation and $\Gamma$-convergence for free-discontinuity
  problems with $p(\cdot)$-growth   An integral representation result for free-discontinuity energies defined on
the space $GSBV^{p(\cdot)}$ of generalized special functions of bounded
variation with variable exponent is proved, under the assumption of
log-H\"older continuity for the variable exponent $p(x)$. Our analysis is based
on a variable exponent version of the global method for relaxation devised in
Bouchitt\`e, Fonseca, Leoni and Mascarenhas '98 for a constant exponent. We
prove $\Gamma$-convergence of sequences of energies of the same type, we
identify the limit integrands in terms of asymptotic cell formulas and prove a
non-interaction property between bulk and surface contributions.

22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
24
The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex