On the lack of bound states for certain NLS equations on metric graphs
Analysis of PDEs
2019-02-06 v2
Abstract
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].
Keywords
Cite
@article{arxiv.1604.06288,
title = {On the lack of bound states for certain NLS equations on metric graphs},
author = {Enrico Serra and Lorenzo Tentarelli},
journal= {arXiv preprint arXiv:1604.06288},
year = {2019}
}
Comments
20 pages, 9 figures