9 citations · 19 across the 4 of their papers we have counts for
5 papers
Existence of solutions for critical Choquard equations via the concentration compactness method
Fashun Gao, Edcarlos D. da Silva, Minbo Yang +1
In this paper we consider the nonlinear Choquard equation $$ -Δu+V(x)u =\left(\int_{\mathbb{R}^N}\frac{G(y,u)}{|x-y|^μ}dy\right)g(x,u)\hspace{4.14mm}\mbox{in}\hspace{1.14mm} \mathb…
Semiclassical states for Choquard type equations with critical growth: critical frequency case
Yanheng Ding, Fashun Gao, Minbo Yang
In this paper we are interested in the existence of semiclassical states for the Choquard type equation $$ -\vr^2Δu +V(x)u =\Big(\int_{\R^N} \frac{G(u(y))}{|x-y|^μ}dy\Big)g(u) \qua…
On the critical Choquard equation with potential well
Fashun Gao, Zifei Shen, Minbo Yang
In this paper we are interested in the following nonlinear Choquard equation $$ -Δu+(λV(x)-β)u =\big(|x|^{-μ}\ast |u|^{2_μ^{\ast}}\big)|u|^{2_μ^{\ast}-2}u\hspace{4.14mm}\mbox{in}\h…
A strongly indefinite Choquard equation with critical exponent due to the Hardy-Littlewood-Sobolev inequality
Fashun Gao, Minbo Yang
In this paper we are concerned with the following nonlinear Choquard equation $$-Δu+V(x)u =\left(\int_{\mathbb{R}^N}\frac{G(y,u)}{|x-y|^μ}dy\right)g(x,u)\hspace{4.14mm}\mbox{in}\hs…
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^{\…