Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: About the Geometry and Regularity of Largest Subsolutions for a Free
  Boundary Problem in R2: Elliptic Case   We study geometric and regularity properties of the largest subsolution of a
one-phase free boundary problem under a very general free boundary condition in
R2. Moreover, we provide density bounds for the positivity set and its
complement near the free boundary.

28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
9
The categories of this paper are: nlin