68 citations · 70 across the 7 of their papers we have counts for
7 papers
Existence thresholds and limit profiles of ground states for lower critical Choquard equations with general nonlinearities
Shiwang Ma, Yachen Wang
In this paper, we study the existence, non-existence and asymptotic behavior of positive ground states for the nonlinear Choquard equation: \begin{equation}\label{0.1} -Δu+\varepsi…
Asymptotic profiles for Choquard equations with combined attractive nonlinearities
Shiwang Ma, Vitaly Moroz
We study asymptotic behaviour of positive ground state solutions of the nonlinear Choquard equation $$ -Δu+\varepsilon u=(I_α\ast |u|^{p})|u|^{p-2}u+ |u|^{q-2}u \quad {\rm in} \ \m…
Normalized Solutions to Kirchhoff Equation with Nonnegative Potential
Shuai Mo, Shiwang Ma
This paper is concerned with the existence of solutions to the problem $$-\left(a+ b\int_{\mathbb{R}^{N}}|\nabla u|^{2} dx \right)Δu +V(x)u+λu = |u|^{p-2}u,\ \ x \in \mathbb{R}^{N}…
Asymptotic profiles for a nonlinear Kirchhoff equation with combined powers nonlinearity
Shiwang Ma, Vitaly Moroz
We study asymptotic behavior of positive ground state solutions of the nonlinear Kirchhoff equation $$ -\Big(a+b\int_{\mathbb R^N}|\nabla u|^2\Big)Δu+ λu= u^{q-1}+ u^{p-1} \quad {\…
Normalized solutions for the Choquard equation with mass supercritical nonlinearity
Na Xu, Shiwang Ma
We consider the nonlinear Choquard equation $$\begin{cases} & - Δu = (I_α\ast F(u))F'(u) -μu \ \text{in}\ \mathbb{R}^N, & u \in \ H^1(\mathbb{R}^N), \ \int_{\mathbb{R}^N} |u|^2 dx=…
Groundstates for Choquard equations with the upper critical exponent
Xinfu Li, Shiwang Ma
In this paper, an autonomous Choquard equation with the upper critical exponent is considered. By using the Pohožaev constraint method, the subcritical approximation method and the…
Choquard equations with critical nonlinearities
Xinfu Li, Shiwang Ma
In this paper, we study the Brezis-Nirenberg type problem for Choquard equations in \begin{equation*} -Δu+u=(I_α\ast|u|^{p})|u|^{p-2}u+λ|u|^{q-2}u \quad \mathrm{in}\…