3 citations · 5 across the 3 of their papers we have counts for
3 papers
math.AP2022
The existence of positive solution for an elliptic problem with critical growth and logarithmic perturbation
Yinbin Deng, Qihan He, Yiqing Pan +1
We consider the existence and nonexistence of positive solution for the following Brézis-Nirenberg problem with logarithmic perturbation: \begin{equation*} \begin{cases} -Δu={\left…
math.AP2021★ 2 cited
Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical
Qihan He, Zongyan Lv, Yimin Zhang +1
In present paper, we study the normalized solutions to the following Kirchhoff problem $$ -\left(a+b\int_{\R^N}|\nabla u|^2dx\right)Δu+λu=g(u)~\h…
math.AP2017★ 3 cited
Existence, non-degeneracy of proportional positive solutions and least energy solutions for a fractional elliptic system
QiHan He, Shuangjie Peng, Yan-Fang Peng
In this paper, we study the following fractional nonlinear Schrödinger system $$ \left\{% \begin{array}{ll} (-Δ)^s u +u=μ_1 |u|^{2p-2}u+β|v|^p|u|^{p-2}u,~~x\in \R^N,\vspace{2mm}\\…