Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gradient Estimates via Rearrangements for Solutions of Some
  Schr\"odinger Equations   In this article, by applying the well known method for dealing with
$p$-Laplace type elliptic boundary value problems, the authors establish a
sharp estimate for the decreasing rearrangement of the gradient of solutions to
the Dirichlet and the Neumann boundary value problems of a class of
Schr\"odinger equations, under the weak regularity assumption on the boundary
of domains. As applications, gradient estimates of these solutions in Lebesgue
spaces and Lorentz spaces are obtained.

18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
37
The categories of this paper are: supr-con
13
The categories of this paper are: quant-ph
5
The categories of this paper are: gr-qc
17
The categories of this paper are: q-fin
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th