Calculus of Variations and Geometric Measure Theory

E. Serra - L. Tentarelli

On the lack of bound states for certain NLS equations on metric graphs

created by tentarelli on 07 Jul 2022


Published Paper

Inserted: 7 jul 2022
Last Updated: 7 jul 2022

Journal: Nonlinear Anal.
Volume: 145
Pages: 68-82
Year: 2016
Doi: 10.1016/

ArXiv: 1604.06288 PDF


The purpose of this paper is to prove some results on the absence of bound states for certain nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearity. In particular, we show how the topological and metric properties of graphs affect the existencenonexistence of bound states. This work completes the discussion initiated in 17, 18.