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math.AP2025
Sharp stability on the second Robin eigenvalue with negative boundary parameters
Zhijie Chen, Zhen Song, Wenming Zou
In this paper, we prove a quantitative refinement of the isoperimetric type inequality for the second Robin eigenvalue with negative boundary parameters established by Freitas and…
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…