ABSTRACT
In this paper, we study the existence and stability of normalized standing waves for the nonlinear Schrödinger equation on a general starlike graph with potentials. Under general assumptions on the graph and the potential, we show the existence of orbitally stable standing waves when the nonlinearity is -critical and supercritical.
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Acknowledgments
The author wishes to express their sincere thanks to the referees for his/her valuable comments that help to improve the main results of this paper.
Disclosure statement
No potential conflict of interest was reported by the authors.