Normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Analysis of PDEs
2023-06-21 v2
Abstract
In this paper we are concerned with the existence of normalized solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In a -supercritical regime, we obtain the existence of solutions for any prescribed mass. This result is obtained through an approach which could prove successful to treat more general equations on noncompact graphs.
Keywords
Cite
@article{arxiv.2212.04840,
title = {Normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities},
author = {Jack Borthwick and Xiaojun Chang and Louis Jeanjean and Nicola Soave},
journal= {arXiv preprint arXiv:2212.04840},
year = {2023}
}
Comments
arXiv admin note: text overlap with arXiv:2204.01043