Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Higher Integrability for Constrained Minimizers of Integral Functionals
  with (p,q)-Growth in low dimension   We prove higher summability for the gradient of minimizers of strongly convex
integral functionals of the Calculus of Variations with (p,q)-Growth conditions
in low dimension. Our procedure is set in the framework of Fractional Sobolev
Spaces and renders the desired regularity as the result of an approximation
technique relying on estimates obtained through a careful use of difference
quotients.

7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat