Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some remarks on stability of cones for the one-phase free boundary
  problem   We show that stable cones for the one-phase free boundary problem are
hyperplanes in dimension $4$. As a corollary, both one and two-phase energy
minimizing hypersurfaces are smooth in dimension $4$.

33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
26
The categories of this paper are: bayes-an