Uniqueness of normalized ground states for NLS models
Analysis of PDEs
2025-03-19 v2
Abstract
We present two methods to prove the uniqueness of normalized ground states. We will first discuss the key ideas and ingredients of each method. Then, we will apply them to various classes of PDEs. Our approach is applicable to other operators, domains and nonlinearities provided that some hypotheses are satisfied.
Cite
@article{arxiv.2302.09681,
title = {Uniqueness of normalized ground states for NLS models},
author = {Hichem Hajaiej and Linjie Song},
journal= {arXiv preprint arXiv:2302.09681},
year = {2025}
}
Comments
To appear in Mathematische Zeitschrift 2025