46 citations · 101 across the 11 of their papers we have counts for
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math.AP2016★ 1 cited
Singularly perturbed critical Choquard equations
Claudianor O. Alves, Fashun Gao, Marco Squassina +1
In this paper we study the semiclassical limit for the singularly perturbed Choquard equation $$ -\vr^2Δu +V(x)u =\vr^{μ-3}\Big(\int_{\R^3} \frac{Q(y)G(u(y))}{|x-y|^μ}dy\Big)Q(x)g(…
math.AP2016★ 1 cited
On nonlocal Choquard equations with Hardy-Littlewood-Sobolev critical exponents
Fashun Gao, Minbo Yang
We consider the following nonlinear Choquard equation with Dirichlet boundary condition $$-Δu =\left(\int_Ω\frac{|u|^{2_μ^{\ast}}}{|x-y|^μ}dy\right)|u|^{2_μ^{\ast}-2}u+λf(u)\hspace…
math.AP2016★ 46 cited
On the Brezis-Nirenberg type critical problem for nonlinear Choquard equation
Fashun Gao, Minbo Yang
We establish some existence results for the Brezis-Nirenberg type problem of the nonlinear Choquard equation $$-Δu =\left(\int_Ω\frac{|u|^{2_μ^{\ast}}}{|x-y|^μ}dy\right)|u|^{2_μ^{\…