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20122022
most citedA perturbed nonlinear elliptic PDE with two Hardy-Sobolev critical exponents

12 citations · 34 across the 16 of their papers we have counts for

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math.AP20221 cited

Least energy positive soultions for -coupled Schrödinger systems with critical exponent in dimension three

Tianhao Liu, Song You, Wenming Zou

In the present paper, we consider the coupled Schrödinger systems with critical exponent: \begin{equation*} \begin{cases} -Δu_i+λ_{i}u_i=\sum\limits_{j=1}^{d} β_{ij}|u_j|^{3}|u_i|u…

math.AP2021

Least energy positive solutions of critical Schrödinger systems with mixed competition and cooperation terms: the higher dimensional case

Hugo Tavares, Song You, Wenming Zou

Let be a smooth bounded domain. In this paper we investigate the existence of least energy positive solutions to the following Schrödinger system with $d\…

math.AP2021

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=…

math.AP20211 cited

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…

math.AP20213 cited

Positive normalized solutions to nonlinear elliptic systems in with critical Sobolev exponent

Xiao Luo, Xiaolong Yang, Wenming Zou

In this paper, we consider the existence and asymptotic behavior on mass of the positive solutions to the following system: \begin{equation}\label{eqA0.1}\nonumber \begin{cases} -Δ…

math.AP2021

Positive least energy solutions for -coupled Schrödinger system with critical exponent: the higher dimension and cooperative case

Xin Yin, Wenming Zou

In this paper, we study the following -coupled nonlinear Schrödinger system with Sobolev critical exponent: \begin{equation*} \left\{ \begin{aligned} -Δu_i & +λ_iu_i =μ_i u_i^{2…