Abstract

In this paper, we consider the following nonlinear fractional Schrödinger-Poisson system

where s, t ∈ (0, 1) and 4s + 2t ≥ 3, 0 < q < 1, and a, K, V ∈ L^∞(ℝ³). When a, V both change sign in ℝ³, by applying the symmetric mountain pass theorem, we prove that the problem has infinitely many solutions under appropriate assumptions on a, K, V .

中文翻译：

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一类次线性分数薛定谔-泊松系统的无穷多解

摘要

在本文中，我们考虑以下非线性分数薛定谔-泊松系统

其中s, t ∈ (0, 1) 和 4 s + 2 t ≥ 3, 0 < q < 1, and a, K, V ∈ L ^∞ (ℝ ³ )。当a, V在 ℝ ^{3 中}都改变符号时，通过应用对称山口定理，我们证明了在适当的a, K, V假设下问题有无限多个解。