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| Autor principal: | |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2407.19141 |
| Etiquetas: |
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- Consider the following nonlinear Schrödinger--Bopp--Podolsky system in $\mathbb{R}^3$: \[ \begin{cases} - Δv + v + ϕv = v |v|^{p - 2}; \\ β^2 Δ^2 ϕ- Δϕ= 4 πv^2, \end{cases} \] where $β> 0$ and $3 < p < 6$, the unknowns being $v$, $ϕ\colon \mathbb{R}^3 \to \mathbb{R}$. We prove that, as $β\to 0$ and up to translations and subsequences, least energy solutions to this system converge to a least energy solution to the following nonlinear Schrödinger--Poisson system in $\mathbb{R}^3$: \[ \begin{cases} - Δv + v + ϕv = v |v|^{p - 2}; \\ - Δϕ= 4 πv^2. \end{cases} \]