W. Zou

activity

20122023

most citedPositive Least Energy Solutions and Phase Separation for Coupled Schrodinger Equations with Critical Exponent: Higher Dimensional Case

173 citations · 449 across the 41 of their papers we have counts for

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3 papers · 1 filter

math.AP2022

Sharp estimates, uniqueness and nondegeneracy of positive solutions of the Lane-Emden system in planar domains

Zhijie Chen, Houwang Li, Wenming Zou

We study the Lane-Emden system ${- Δ u = v^{p}, u > 0, in Ω, - Δ v = u^{q}, v > 0, in Ω, u = v = 0, on \partial Ω,$ where $Ω\subset…

math.AP2022★ 49 cited

Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems

Thomas Bartsch, Houwang Li, Wenming Zou

The paper is concerned with the existence and asymptotic properties of normalized ground states of the following nonlinear Schrödinger system with critical exponent: \begin{equatio…

math.AP2022★ 1 cited

Least energy positive soultions for $d$ -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…

Sharp estimates, uniqueness and nondegeneracy of positive solutions of the Lane-Emden system in planar domains

Existence and asymptotic behavior of normalized ground states for Sobolev critical Schrödinger systems

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

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