46 citations · 101 across the 11 of their papers we have counts for
11 papers
Construction of infinitely many solutions for a critical Choquard equation via local Pohožaev identities
Fashun Gao, Vitaly Moroz, Minbo Yang +1
In this paper, we study a class of the critical Choquard equations with axisymmetric potentials, $$ -Δu+ V(|x'|,x'')u =\Big(|x|^{-4}\ast |u|^{2}\Big)u\hspace{4.14mm}\mbox{in}\hspac…
High energy positive solutions for a coupled Hartree system with Hardy-Littlewood-Sobolev critical exponents
Fashun Gao, Haidong Liu, Vitaly Moroz +1
We study the coupled Hartree system $$ \left\{\begin{array}{ll} -Δu+ V_1(x)u =α_1\big(|x|^{-4}\ast u^{2}\big)u+β\big(|x|^{-4}\ast v^{2}\big)u &\mbox{in}\ \mathbb{R}^N,\\[1mm] -Δv+…
On elliptic equations with Stein-Weiss type convolution parts
Lele Du, Fashun Gao, Minbo Yang
The aim of this paper is to study the critical elliptic equations with Stein-Weiss type convolution parts $$ \displaystyle-Δu =\frac{1}{|x|^α}\left(\int_{\mathbb{R}^{N}}\frac{|u(y)…
Existence of solutions for critical Choquard equations via the concentration compactness method
Fashun Gao, Edcarlos D. da Silva, Minbo Yang +1
In this paper we consider the nonlinear Choquard equation $$ -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 $$-Δu+V(x)u =\left(\int_{\mathbb{R}^N}\frac{G(y,u)}{|x-y|^μ}dy\right)g(x,u)\hspace{4.14mm}\mbox{in}\hs…
Singularly perturbed critical Choquard equations
Claudianor O. Alves, Fashun Gao, Marco Squassina +1
In this paper we study the semiclassical limit for the singularly perturbed Choquard equation $$ -\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(…
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 $$-Δu =\left(\int_Ω\frac{|u|^{2_μ^{\ast}}}{|x-y|^μ}dy\right)|u|^{2_μ^{\ast}-2}u+λf(u)\hspace…
On the Brezis-Nirenberg type critical problem for nonlinear Choquard equation
Fashun Gao, Minbo Yang
We establish some existence results for the Brezis-Nirenberg type problem of the nonlinear Choquard equation $$-Δu =\left(\int_Ω\frac{|u|^{2_μ^{\ast}}}{|x-y|^μ}dy\right)|u|^{2_μ^{\…
Groundstates for nonlinear fractional Choquard equations with general nonlinearities
Zifei Shen, Fashun Gao, Minbo Yang
We study the following nonlinear Choquard equation driven by a fractional Laplacian: with ,…