108 citations · 155 across the 23 of their papers we have counts for
7 papers · 1 filter
On the Kirchhoff equation with prescribed mass and general nonlinearities
Xiaoyu Zeng, Jianjun Zhang, Yimin Zhang +1
In the present paper, we apply a global branch approach to study the existence, non-existence and multiplicity of positive normalized solutions $(λ_c, u_c)\in \mathbb{R}\times H^1(…
A global branch approach to normalized solutions for the Schrödinger equation
Louis Jeanjean, Jianjun Zhang, Xuexiu Zhong
We study the existence, non-existence and multiplicity of prescribed mass positive solutions to a Schrödinger equation of the form \begin{equation*} -Δu+λu=g(u), \quad u \in H^1(\m…
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 $$\begin{cases} -Δu + λ_1 u=…
A new deduce of the strict binding inequality and its application: Ground state normalized solution to Schrödinger equations with potential
Xuexiu Zhong, Wenming Zou
In the present paper, we prove the existence of solutions to the following elliptic equations with potential $\displaystyle -Δu+(V(x)+λ)u=g(u)\;\hbox…
Sharp interaction estimates and their application: existence of normalized ground states to coupled Schrödinger systems with potentials
Yinbin Deng, Qihan He, Xuexiu Zhong
In this paper, our aim is to prove the existence of normalized ground state for the following Schrödinger systems with potentials $$\begin{cases} -Δu_1+V_1(x)u_1+λ_1 u_1=\partial_1…