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arXiv · 1612.08496

Existence of non-trivial solutions for nonlinear fractional Schr\"{o}dinger-Poisson equations

Kexue Li
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Abstract

We prove the existence of non-trivial solutions for a fractional Schr$\ddot{o}$dinger-Poisson equation in $\mathbb{R}^{3}$. The proof is based on the perturbation method and the mountain pass theorem.

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Kexue Li. 2016-12-27. Existence of non-trivial solutions for nonlinear fractional Schr\"{o}dinger-Poisson equations. https://arxiv.org/abs/1612.08496

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