NLS ground states on metric graphs with localized nonlinearities
Analysis of PDEs
2019-02-06 v2
Abstract
We investigate the existence of ground states for the focusing subcritical NLS energy on metric graphs with localized nonlinearities. In particular, we find two thresholds on the measure of the region where the nonlinearity is localized that imply, respectively, existence or nonexistence of ground states. In order to obtain these results we adapt to the context of metric graphs some classical techniques from the Calculus of Variations.
Keywords
Cite
@article{arxiv.1503.00455,
title = {NLS ground states on metric graphs with localized nonlinearities},
author = {Lorenzo Tentarelli},
journal= {arXiv preprint arXiv:1503.00455},
year = {2019}
}
Comments
18 pages