Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: H\"older continuity for Trudinger's equation in measure spaces   We complete the study of the regularity for Trudinger's equation by proving
that weak solutions are H\"older continuous also in the singular case. The
setting is that of a measure space with a doubling non-trivial Borel measure
supporting a Poincar\'e inequality. The proof uses the Harnack inequality and
intrinsic scaling.

29
The categories of this paper are: funct-an
4
The categories of this paper are: cond-mat
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
13
The categories of this paper are: quant-ph
15
The categories of this paper are: nucl-ex
9
The categories of this paper are: nlin
16
The categories of this paper are: stat
30
The categories of this paper are: q-alg