12 citations · 30 across the 12 of their papers we have counts for
12 papers
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…
Localized semiclassical states for Hamiltonian elliptic systems in dimension two
Hui Zhang, Minbo Yang, Jianjun Zhang +1
In this paper, we consider the Hamiltonian elliptic system in dimension two\begin{equation}\label{1.5}\aligned \left\{ \begin{array}{lll} -ε^2Δu+V(x)u=g(v)\ & \text{in}\quad \mathb…
Normalized solution to the Schödinger equation with potential and general nonlinear term: Mass super-critical case
Yanheng Ding, Xuexiu Zhong
In present paper, we prove the existence of solutions to the following Schrödinger equation $$ \begin{cases} -Δu(x)+V(x)u(x)+λu(x)=g(u(x))\quad &\hbo…
Positive normalized solution to the Kirchhoff equation with general nonlinearities of mass super-critical
Qihan He, Zongyan Lv, Yimin Zhang +1
In present paper, we study the normalized solutions to the following Kirchhoff problem $$ -\left(a+b\int_{\R^N}|\nabla u|^2dx\right)Δu+λu=g(u)~\h…
Normalized solutions for nonlinear Schrödinger systems with special mass-mixed terms: The linear couple case
Zhen Chen, Xuexiu Zhong, Wenming Zou
In this paper, we prove the existence of positive solutions to the following coupled Schrödinger system $$\begin{cases} -Δu + λ_1 u=…
A new deduce of the strict binding inequality and its application: Ground state normalized solution to Schrödinger equations with potential
Xuexiu Zhong, Wenming Zou
In the present paper, we prove the existence of solutions to the following elliptic equations with potential $\displaystyle -Δu+(V(x)+λ)u=g(u)\;\hbox…