7 citations · 9 across the 7 of their papers we have counts for
10 papers
Infinitely many nonradial positive solutions for multi-species nonlinear Schrödinger systems in
Tuoxin Li, Juncheng Wei, Yuanze Wu
In this paper, we consider the multi-species nonlinear Schrödinger systems in $\bbr^N$: \begin{equation*} \left\{\aligned&-Δu_j+V_j(x)u_j=μ_ju_j^3+\sum_{i=1;i\not=j}^dβ_{i,j} u_i^2…
Sharp stability of the logarithmic Sobolev inequality in the critical point setting
Juncheng Wei, Yuanze Wu
In this paper, we consider the Euclidean logarithmic Sobolev inequality \begin{eqnarray*} \int_{\mathbb{R}^d}|u|^2\log|u|dx\leq\frac{d}{4}\log\bigg(\frac{2}{πd e}\|\nabla u\|_{L^2(…
Normalized solutions for Schrödinger equations with critical Sobolev exponent and mixed nonlinearities
Juncheng Wei, Yuanze Wu
In this paper, we consider the following nonlinear Schrödinger equations with mixed nonlinearities: \begin{eqnarray*} \left\{\aligned &-Δu=λu+μ|u|^{q-2}u+|u|^{2^*-2}u\quad\text{in…
Ground states of Nonlinear Schrödinger System with Mixed Couplings
Juncheng Wei, Yuanze Wu
We consider the following -coupled nonlinear Schrödinger system: \begin{align*} \begin{cases} &-Δu_j + λ_j u_j = μ_j u_j^3 + \sum_{i=1, i\not=j}^k β_{i,j} u_i^2 u_j \quad {\rm i…
Spikes of the two-component elliptic system in $\bbr^4$ with Sobolev critical exponent
Yuanze Wu, Wenming Zou
Consider the following elliptic system: \begin{equation*} \left\{\aligned&-\ve^2Δu_1+λ_1u_1=μ_1u_1^3+α_1u_1^{p-1}+βu_2^2u_1\quad&\text{in}Ω,\\ &-\ve^2Δu_2+λ_2u_2=μ_2u_2^3+α_2u_2^{p…
On a critical Kirchhoff problem in high dimensions
Yisheng Huang, Zeng Liu, Yuanze Wu
In this paper, we consider the following Kirchhoff problem $$ \left\{\aligned -\bigg(a+b\int_Ω|\nabla u|^2dx\bigg)Δu&= λu^{q-1} + μu^{2^*-1}, &\quad \text{in }Ω, \\ u&>0,&\quad\tex…