Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent
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Date
2020-01-06
Authors
Su, Yu
Chen, Haibo
Liu, Senli
Fang, Xianwen
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University, Department of Mathematics
Abstract
In this article we consider the fractional Schrödinger-Poisson system
(-Δ)su - μ Φ(x/|x|)/|x|2s u + λφu = |u|2*s-2u, in ℝ3,
(-Δ)tφ = u2, in ℝ3,
where s ∈ (0, 3/4), t ∈ (0, 1), 2t + 4s = 3, λ > 0 and 2*s = 6/(3-2s) is the Sobolev critical exponent. By using perturbation method, we establish the existence of a solution for λ small enough.
Description
Keywords
Fractional Schrödinger-Poisson system, Weighted Hardy potential, Critical exponent
Citation
Su, Y., Chen, H., Liu, S., & Fang, X. (2020). Fractional Schrödinger-Poisson systems with weighted Hardy potential and critical exponent. <i>Electronic Journal of Differential Equations, 2020</i>(01), pp. 1-17.
Rights
Attribution 4.0 International