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math.AP2025
Critical points of the Moser-Trudinger functional on conical singular surfaces, I: compactness
Zhijie Chen, Houwang Li
Let be a compact Riemann surface with conical singularites of angles in , and be a positive smooth function. In this paper, by establishing a…
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…
math.AP2020
Normalized ground states for semilinear elliptic systems with critical and subcritical nonlinearities
Houwang Li, Wenming Zou
In the present paper, we study the normalized solutions with least energy to the following system: $$\begin{cases} -Δu+λ_1u=μ_1 |u|^{p-2}u+βr_1|u|^{r_1-2}|v|^{r_2}u\quad &\hbox{in}…