Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: New applications of monotonicity methods to a class of non-monotone
  parabolic quasilinear sub-homogeneous problems   The main goal of this paper is to show how some monotonicity methods related
with the subdifferential of suitable convex functions and its extensions as
m-accretive operators in Banach spaces lead to new and unexpected results
showing, for instance, the continuous and monotone dependence of solutions with
the respect to the data (and coefficients) of the problem. In this way, this
paper offers `a common roof' to several methods and results concerning monotone
and non-monotone frameworks. Besides to present here some new results, this
paper offers also a peculiar survey to some topics which attracted the
attention of many specialists in elliptic and parabolic nonlinear partial
differential equations in the last years under the important influence of Haim
Brezis. To be more precise, the model problem under consideration concerns to
positive solutions of a general class of doubly nonlinear diffusion parabolic
equations with some sub-homogeneous forcing terms.

20
The categories of this paper are: acc-phys
24
The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-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
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
30
The categories of this paper are: q-alg