Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Some nonlinear differential inequalities and an application to H\"older
  continuous almost complex structures   We consider some second order quasilinear partial differential inequalities
for real valued functions on the unit ball and find conditions under which
there is a lower bound for the supremum of nonnegative solutions that do not
vanish at the origin. As a consequence, for complex valued functions $f(z)$
satisfying $\partial f/\partial\bar z=|f|^\alpha$, $0<\alpha<1$, and
$f(0)\ne0$, there is also a lower bound for $\sup|f|$ on the unit disk. For
each $\alpha$, we construct a manifold with an $\alpha$-H\"older continuous
almost complex structure where the Kobayashi-Royden pseudonorm is not upper
semicontinuous.

20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
36
The categories of this paper are: cmp-lg
12
The categories of this paper are: nucl-th
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph