Shaoxiong Chen

most citedMultiple and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent

14 citations · 14 across the 2 of their papers we have counts for

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math.FA2019★ 14 cited

Multiple and concentration of nontrivial nonnegative solutions for a fractional Choquard equation with critical exponent

Shaoxiong Chen, Yue Li, Zhipeng Yang

In present paper, we study the fractional Choquard equation $ε^{2 s} (- Δ)^{s} u + V (x) u = ε^{μ - N} (\frac{1}{∣ x ∣ ^{μ}} * F (u)) f (u) + ∣ u ∣^{2_{s}^{*} - 2} u$ where $\varepsilon>…

math.FA2019

Existence of Positive Solutions for a class of Quasilinear Schrödinger Equations of Choquard type

Shaoxiong Chen, Xian Wu

In this paper, we study the following quasilinear Schrödinger equation of Choquard type $- △ u + V (x) u - △ (u^{2}) u = (I_{α} * ∣ u ∣^{p}) ∣ u ∣^{p - 2} u, x \in R^{N},$ …