7 citations · 9 across the 8 of their papers we have counts for
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Extremal values of -Pohozaev manifolds and their applications
Taicheng Liu, Yuanze Wu
In this paper, we consider the following Schrödinger equation: \begin{equation*} \begin{cases} -Δu=λu+μ|u|^{q-2}u+|u|^{2^*-2}u\quad\text{in }\mathbb{R}^N,\\ \int_{\mathbb{R}^N}|u(x…
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…