Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Double phase implicit obstacle problems with convection and multivalued
  mixed boundary value conditions   In this paper we consider a mixed boundary value problem with a
nonhomogeneous, nonlinear differential operator (called double phase operator),
a nonlinear convection term (a reaction term depending on the gradient), three
multivalued terms and an implicit obstacle constraint. Under very general
assumptions on the data, we prove that the solution set of such implicit
obstacle problem is nonempty (so there is at least one solution) and weakly
compact. The proof of our main result uses the Kakutani-Ky Fan fixed point
theorem for multivalued operators along with the theory of nonsmooth analysis
and variational methods for pseudomonotone operators.

12
The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
6
The categories of this paper are: astro-ph
8
The categories of this paper are: hep-ex
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph