Infinitely many solutions for fractional Schrödinger-Poisson systems with sign-changing potential
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Date
2017-04-05
Authors
Chen, Jianhua
Tang, Xianhua
Luo, Huxiao
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article, we prove the existence of multiple solutions for following fractional Schrödinger-Poisson system with sign-changing potential
(-∆)su + V(x)u + λφu = ƒ(x, u), x ∈ ℝ3,
(-∆)tφ = u2, x ∈ ℝ3,
where (-∆)α denotes the fractional Laplacian of order α ∈ (0, 1), and the potential V is allowed to be sign-changing. Under certain assumptions on ƒ, we obtain infinitely many solutions for this system.
Description
Keywords
Fractional Schrödinger-Poisson systems, Sign-changing potential, Symmetric mountain pass theorem, Infinitely many solutions
Citation
Chen, J., Tang, X., & Luo, H. (2017). Infinitely many solutions for fractional Schrödinger-Poisson systems with sign-changing potential. <i>Electronic Journal of Differential Equations, 2017</i>(97), pp. 1-13.
Rights
Attribution 4.0 International