Asymptotic profile of least energy solutions to the nonlinear Schrodinger-Bopp-Podolsky system
We consider the nonlinear Schr"odinger-Bopp-Podolsky system in \(\mathbb{R}^3\): $$\displaylines{ - \Delta v + v + \phi v = v |v|^{p - 2}, \cr \beta^2 \Delta^2 \phi - \Delta \phi = 4 \pi v^2, }$$ where \(\beta > 0\) and \(3 < p < 6\); the unknowns being \(v\) and \(\phi \colon \mathbb{R}^3 \to \mathbb{R}\). We prove that, as \(\beta \to 0\) and up to translations and subsequences, the least energy solutions of the above converge to a least energy solution to the nonlinear Schrodinger-Poisson system in \(\mathbb{R}^3\): $$\displaylines{ - \Delta v + v + \phi v = v |v|^{p - 2}, \cr - \Delta \phi = 4 \pi v^2. }$$ For more information see https://ejde.math.txstate.edu/Volumes/2025/29/abstr.html
Authors
- Gustavo de Paula Ramos (ORCID: https://orcid.org/0000-0001-6618-9465)
Institutions
- Universidade de São Paulo (BR)
Publication Details
- Journal
- Electronic Journal of Differential Equations
- Published
- 2025-03-17
- DOI
- https://doi.org/10.58997/ejde.2025.29
- Primary Topic
- Advanced Mathematical Physics Problems
- Type
- article
- Field-Weighted Citation Impact
- 0.00