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PreprintCC BY 4.0HAL

A quasi-linear Schrödinger equation for nucleons : existence, uniqueness and asymptotic behavior

  • Meriem Bahhi
  • Jonas Lampart
  • Simona Rota Nodari
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Abstract

We study a quasi-linear Schrödinger-type equation arising in the description of particle dynamics within atomic nuclei. Under suitable assumptions on the model parameters, we establish the existence, uniqueness, and non-degeneracy of positive radial solutions. Moreover, we analyze how these solutions depend on the parameters.

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Cite

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BibTeX
@misc{bahhi2026quasilinear,
  title = {{A quasi-linear Schrödinger equation for nucleons : existence, uniqueness and asymptotic behavior}},
  author = {Meriem Bahhi and Jonas Lampart and Simona Rota Nodari},
  howpublished = {HAL},
  year = {2026},
  month = sep,
  doi = {10.48550/arxiv.2609.31139},
  eprint = {2609.31139},
  archivePrefix = {arXiv},
  url = {https://hal.science/hal-05763142v2},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - A quasi-linear Schrödinger equation for nucleons : existence, uniqueness and asymptotic behavior
AU  - Meriem Bahhi
AU  - Jonas Lampart
AU  - Simona Rota Nodari
PY  - 2026
DA  - 2026/09/24
PB  - HAL
DO  - 10.48550/arxiv.2609.31139
UR  - https://hal.science/hal-05763142v2
AB  - We study a quasi-linear Schrödinger-type equation arising in the description of particle dynamics within atomic nuclei. Under suitable assumptions on the model parameters, we establish the existence, uniqueness, and non-degeneracy of positive radial solutions. Moreover, we analyze how these solutions depend on the parameters.
ER  -