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arXiv · 2112.10462

Solitary waves for the nonlinear Schr\"odinger-Poisson system with positron-electron interaction

Sangdon Jin·Jinmyoung Seok
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Abstract

In this paper, we study the existence of positive solutions to the nonlinear elliptic system, which is derived from taking the nonrelativistic limit of the nonlinear Maxwell-Klein-Gordon equations under the decomposition of waves functions into positron and electron parts. We characterize the existence and nonexistence of positive vector solutions, depending on parameters $p$ and $\mu_{ij}$.

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Sangdon Jin, Jinmyoung Seok. 2021-12-20. Solitary waves for the nonlinear Schr\"odinger-Poisson system with positron-electron interaction. https://arxiv.org/abs/2112.10462

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