2 citations · 3 across the 5 of their papers we have counts for
5 papers
On the Classification of blow-up solutions of a singular Liouville equation on the disk
Zhijie Chen, Houwang Li, Tuoxin Li +1
We study the blow-up behavior of solutions to the singular Liouville equation \[ Δ\tilde u+λe^{\tilde u}=4παδ_0 \quad\text{in }B,\quad \tilde u=0 \quad\text{on }\partial B, \] wher…
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…
Energy quantization of the two dimensional Lane-Emden equation with vanishing potentials
Zhijie Chen, Houwang Li
We study the concentration phenomenon of the Lane-Emden equation with vanishing potentials \[\begin{cases} -Δu_n=W_n(x)u_n^{p_n},\quad u_n>0,\quad\text{in}~Ω, u_n=0,\quad\text{on}~…
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…
Existence and symmetry of positive ground states for a doubly critical Schrodinger system
Zhijie Chen, Wenming Zou
We study the following doubly critical Schrödinger system $$-Δu -\frac{\la_1}{|x|^2}u=u^{2^\ast-1}+ ν\al u^{\al-1}v^\bb, \quad x\in \RN, -Δv -\frac{\la_2}{|x|^2}v=v^{2^\ast-1} + ν\…