3 citations · 9 across the 15 of their papers we have counts for
15 papers
Existence and Limiting Profiles of Normalized Travelling Wave Solutions for the Pseudo-Relativistic Schrödinger Equation with Logarithmic Nonlinearity
Pietro d'Avenia, Qihan He, Alessio Pomponio +1
We study the existence and asymptotic behaviour of normalized solutions to the following pseudo-relativistic Schrödinger equation with logarithmic nonlinearity \[ (\sqrt{-Δ+m^2 }-m…
Infinitely many multi-peaks solutions for a nonlinear Hartree system
Qihan He, Qingfang Wang
In this paper, we study the following nonlinear Hartree system: for , with $u_i\in H^1(\math…
Multiple positive solutions with prescribed masses for a coupled Schrödinger system: mass mixed and Sobolev critical coupled case
Qing Guo, Qihan He, Wei Shuai +1
The aim of this paper is to establish multiple positive normalized solutions to the following coupled Schröding…
Existence and multiplicity of normalized solutions for the quasi-linear Schrödinger equations with mixed nonlinearities
Qihan He, Hao Wang
In this paper, we study the existence and multiplicity of the normalized solutions to the following quasi-linear problem \begin{equation*} -Δu-Δ(|u|^2)u+λu=|u|^{p-2}u+τ|u|^{q-2}u,…
Existence and multiplicity of positive solutions to a critical elliptic equation with logarithmic perturbation
Qihan He, Yiqing Pan
We consider the existence and multiplicity of positive solutions for the following critical problem with logarithmic term: \begin{equation*}\label{eq11}\left\{ \begin{array}{ll} -Δ…
Positive solutions of critical Hardy-Hénon equations with logarithmic term
Qihan He, Wenxuan Liu, Yiqing Pan
We consider the existence, non-existence and multiplicity of positive solutions to the following critical Hardy-Hénon equation with logarithmic term \begin{equation*}\label{eq11}\l…
Normalized solutions for a Kirchhoff type equations with potential in
Leilei Cui, Qihan He, Zongyan Lv +1
In the present paper, we study the existence of normalized solutions to the following Kirchhoff type equations \begin{equation*} -\left(a+b\int_{\R^3}|\nabla u|^2\right)Δu+V(x)u+λu…
Ground state solutions to a coupled nonlinear logarithmic Hartree system
Qihan He, Yafei Li, Yanfang Peng
In this paper, we study the following coupled nonlinear logarithmic Hartree system \begin{align*} \left\{ \displaystyle \begin{array}{ll} \displaystyle -Δu+ λ_1 u =μ_1\left( -\frac…
Existence of nontrivial solutions for critical biharmonic equations with logarithmic term
Qihan He, Juntao Lv, Zongyan Lv +1
In this paper, we consider the existence of nontrivial solutions to the following critical biharmonic problem with a logarithmic term \begin{equation*} \begin{cases} Δ^2 u=μΔu+λu+|…
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…
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 $$ -\left(a+b\int_{\R^N}|\nabla u|^2dx\right)Δu+λu=g(u)~\h…
Sharp interaction estimates and their application: existence of normalized ground states to coupled Schrödinger systems with potentials
Yinbin Deng, Qihan He, Xuexiu Zhong
In this paper, our aim is to prove the existence of normalized ground state for the following Schrödinger systems with potentials $$\begin{cases} -Δu_1+V_1(x)u_1+λ_1 u_1=\partial_1…
A new type of bubble solutions for a Schrödinger equation with critical growth
Qihan He, Chunhua Wang, Qingfang Wang
In this paper, we investigate the following critical elliptic equation where is a b…
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 $$ \left\{% \begin{array}{ll} (-Δ)^s u +u=μ_1 |u|^{2p-2}u+β|v|^p|u|^{p-2}u,~~x\in \R^N,\vspace{2mm}\\…
NODAL Vector solutions with clustered peaks for a nonlinear elliptic equations in
Qihan He, Chunhua Wang
In this paper, we study the following coupled nonlinear Schrödinger system in $$ \left\{% \begin{array}{ll} -ε^2Δu +P(x)u=μ_1 u^3+βv^2u,~~&x\in \R^3,\vspace{0.15cm}\\ -ε^2Δv…