Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the lack of bound states for certain NLS equations on metric graphs   The purpose of this paper is to prove some results on the absence of bound
states for certain nonlinear Schr\"odinger equations on noncompact metric
graphs with localized nonlinearity. In particular, we show how the topological
and metric properties of graphs affect the existence/nonexistence of bound
states. This work completes the discussion initiated in [17, 18].

32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph