Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Concavity properties of solutions to Robin problems   We prove that the Robin ground state and the Robin torsion function are
respectively log-concave and $\frac{1}{2}$-concave on an uniformly convex
domain $\Omega\subset \mathbb{R}^N$ of class $\mathcal{C}^m$, with $[m -\frac{
N}{2}]\geq 4$, provided the Robin parameter exceeds a critical threshold. Such
threshold depends on $N$, $m$, and on the geometry of $\Omega$, precisely on
the diameter and on the boundary curvatures up to order $m$.

4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
11
The categories of this paper are: hep-lat
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
21
The categories of this paper are: adap-org
25
The categories of this paper are: patt-sol
32
The categories of this paper are: atom-ph