Work

A quasi-linear Schr{ö}dinger equation for nucleons : existence, uniqueness and asymptotic behavior

Year: 2026

Type: preprint

Abstract: We study a quasi-linear Schr{ö}dinger-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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.31139

Authors: Bahhi, Meriem, Lampart, Jonas, Nodari, Simona Rota

Institutions: Institut Universitaire de France, Laboratoire Jean-Alexandre Dieudonné

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Award: Ingénierie et Innovation par les sciences physiques, les savoir-faire technologiques et l'interdisciplinarité

OpenAlex ID: W7214571357

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