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Peer-reviewedCC BY 4.0Discrete and Continuous Dynamical Systems - Series A

Infinitely many normalized solutions of L2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities

  • Pablo Carrillo
  • Damien Galant
  • Louis Jeanjean
  • Christophe Troestler
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Abstract

We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an L2-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.

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Cite

BibTeXRIS
BibTeX
@article{carrillo2026infinitely,
  title = {{Infinitely many normalized solutions of $L^2$-supercritical NLS equations on noncompact metric graphs with localized nonlinearities}},
  author = {Pablo Carrillo and Damien Galant and Louis Jeanjean and Christophe Troestler},
  journal = {Discrete and Continuous Dynamical Systems - Series A},
  year = {2026},
  month = oct,
  doi = {10.3934/dcds.2025085},
  eprint = {2403.10959},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-04590083v1},
  note = {CC BY 4.0},
}
RIS
TY  - JOUR
TI  - Infinitely many normalized solutions of L^2-supercritical NLS equations on noncompact metric graphs with localized nonlinearities
AU  - Pablo Carrillo
AU  - Damien Galant
AU  - Louis Jeanjean
AU  - Christophe Troestler
PY  - 2026
DA  - 2026/10/08
JO  - Discrete and Continuous Dynamical Systems - Series A
DO  - 10.3934/dcds.2025085
UR  - https://hal.science/hal-04590083v1
AB  - We consider the existence of solutions for nonlinear Schr\"odinger equations on noncompact metric graphs with localized nonlinearities. In an L^2-supercritical regime, we establish the existence of infinitely many solutions for any prescribed mass.
SN  - 1078-0947
SN  - 1553-5231
ER  -