Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On sets minimizing their weighted length in uniformly convex separable
  Banach spaces   We study existence and partial regularity relative to the weighted Steiner
problem in Banach spaces. We show $C^1$ regularity almost everywhere for almost
minimizing sets in uniformly rotund Banach spaces whose modulus of uniform
convexity verifies a Dini growth condition.

15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
5
The categories of this paper are: gr-qc
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int