Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Special cases of the planar least gradient problem   We study two special cases of the planar least gradient problem. In the first
one, the boundary conditions are imposed on a part of the strictly convex
domain. In the second case, we impose the Dirichlet data on the boundary of a
rectangle, an example of convex but not strictly convex domain. We show the
existence of solutions and study their properties for particular cases of data.

35
The categories of this paper are: mtrl-th
22
The categories of this paper are: chao-dyn
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
5
The categories of this paper are: gr-qc
12
The categories of this paper are: nucl-th
20
The categories of this paper are: acc-phys
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin