Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
Analysis of PDEs
2024-12-17 v2
Abstract
We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an -supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
Keywords
Cite
@article{arxiv.2403.10959,
title = {Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities},
author = {Pablo Carrillo and Damien Galant and Louis Jeanjean and Christophe Troestler},
journal= {arXiv preprint arXiv:2403.10959},
year = {2024}
}