Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Existence of $p$-energy minimizers in homotopy classes and lifts of
  Newtonian maps   We study the notion of $p$-quasihomotopy in Newtonian classes of mappings and
link it to questions concerning lifts of Newtonian maps, under the assumption
that the target space is nonpositively curved. Using this connection we prove
that every $p$-quasihomotopy class of Newtonian maps contains a minimizer of
the $p$-energy if the target has hyperbolic fundamental group.

16
The categories of this paper are: stat
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
6
The categories of this paper are: astro-ph
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
27
The categories of this paper are: comp-gas
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph