Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs
Analysis of PDEs
2022-10-24 v2
Abstract
This paper is devoted to the existence of non-trivial bound states of prescribed mass for the mass-supercritical nonlinear Schr\"odinger equation on compact metric graphs. The investigation is based upon a general variational principle which combines the monotonicity trick and a min-max theorem with second order information, and upon the blow-up analysis of bound states with prescribed mass and bounded Morse index.
Keywords
Cite
@article{arxiv.2204.01043,
title = {Normalized solutions of $L^2$-supercritical NLS equations on compact metric graphs},
author = {Xiaojun Chang and Louis Jeanjean and Nicola Soave},
journal= {arXiv preprint arXiv:2204.01043},
year = {2022}
}