Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal solutions for $-\Delta u+u^q=0$ in open or finely open sets   We study the existence and uniqueness of new classes of solutions of the
superlinear equation $-\Delta u+u^q=0$ (q>1) in a domain of R^N or in a finely
open set for the topology associated to the Bessel capacity C_{2,q'}. Condition
of existence or uniqueness of solutions with boundary blow-up are obtained
generalizing the results of Dhersin-Le Gall and of Labutin.

24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol