Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph-Reference-Cited by-同舟云学术

Global dynamics below a threshold for the nonlinear Schrödinger equations with the Kirchhoff boundary and the repulsive Dirac delta boundary on a star graph

Published:2024-02 Issue:1 Volume:5 Page:
ISSN:2662-2963
Container-title:Partial Differential Equations and Applications
language:en
Short-container-title:Partial Differ. Equ. Appl.

Author:

Hamano Masaru^ORCID,Ikeda Masahiro^ORCID,Inui Takahisa^ORCID,Shimizu Ikkei^ORCID

Funder

Japan Society for the Promotion of Science

Overseas Research Fellowship

Publisher

Springer Science and Business Media LLC

Link

https://link.springer.com/content/pdf/10.1007/s42985-024-00274-2.pdf

Reference52 articles.

1. Adami, R., Cacciapuoti, C., Finco, D., Noja, D.: Variational properties and orbital stability of standing waves for NLS equation on a star graph. J. Differ. Equ. 257(10), 3738–3777 (2014). https://doi.org/10.1016/j.jde.2014.07.008

2. Adami, R., Cacciapuoti, C., Finco, D., Noja, D.: Constrained energy minimization and orbital stability for the NLS equation on a star graph. Ann. Inst. H. Poincaré C Anal. Non Linéaire 31(6), 1289–1310 (2014). https://doi.org/10.1016/j.anihpc.2013.09.003

3. Adami, R., Serra, E., Tilli, P.: NLS ground states on graphs. Calc. Var. Partial Differ. Equ. 54(1), 743–761 (2015). https://doi.org/10.1007/s00526-014-0804-z

4. Adami, R., Cacciapuoti, C., Finco, D., Noja, D.: Stable standing waves for a NLS on star graphs as local minimizers of the constrained energy. J. Differ. Equ. 260(10), 7397–7415 (2016). https://doi.org/10.1016/j.jde.2016.01.029

5. Adami, R., Serra, E., Tilli, P.: Threshold phenomena and existence results for NLS states on metric graphs. J. Funct. Anal. 271(1), 201–223 (2016). https://doi.org/10.1016/j.jfa.2016.04.004

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