Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Fredholm alternative for the $p$-Laplacian in exterior domains   We investigate the Fredholm alternative for the $p$-Laplacian in an exterior
domain which is the complement of the closed unit ball in $\mathbb{R}^N$
($N\geq 2$). By employing techniques of Calculus of Variations we obtain the
multiplicity of solutions. The striking difference between our case and the
entire space case is also discussed.

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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con