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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 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
Asymptotic behavior of positive solutions to the Lane-Emden system in dimension two
Chen Zhijie, Li Houwang, Zou Wenming
Consider the Lane-Emden system \begin{equation*}\begin{aligned} &-Δu=v^p,\quad u>0,\quad\text{in}~Ω, &-Δv=u^q,\quad v>0,\quad\text{in}~Ω, &u=v=0,\quad\text{on}~\partialΩ, \end{alig…