Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A minimization method and applications to the study of solitons   Roughly speaking a solitary wave is a solution of a field equation whose
energy travels as a localized packet and which preserves this localization in
time. A soliton is a solitary wave which exhibits some strong form of stability
so that it has a particle-like behavior. In this paper, we prove a general,
abstract theorem (Theorem 26) which allows to prove the ex istence of a class
of solitons. Such solitons are suitable minimizers of a constrained functional
and they are called hylomorphic solitons. Then we apply the abstract theory to
problems related to the nonlinear Schr\"odinger equation (NSE) and to the
nonlinear Klein-Gordon equation (NKG).

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
3
The categories of this paper are: physics
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph