Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity results for solutions to obstacle problems with Sobolev
  coeffcients   We establish the higher differentiability of solutions to a class of obstacle
problems for integral functionals where the convex integrand f satisfies
p-growth conditions with respect to the gradient variable. We derive that the
higher differentiability property of the weak solution v is related to the
regularity of the assigned , under a suitable Sobolev assumption on the partial
map that measures the oscillation of f with respect to the x variable. The main
novelty is that such assumption is independent of the dimension n and that, in
the case p<=n-2, improves previous known results.

36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
16
The categories of this paper are: stat
17
The categories of this paper are: q-fin
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys