49 citations · 66 across the 9 of their papers we have counts for
9 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…
Normalized solutions for a class of Sobolev critical Schrodinger systems
Houwang Li, Tianhao Liu, Wenming Zou
This paper focuses on the existence and multiplicity of normalized solutions for the coupled Schrodinger system with Sobolev critical coupling term. We present several existence an…
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}~…
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…
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…
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…
Quasilinear Schrödinger equations: ground state and infinitely many normalized solutions
Houwang Li, Wenming Zou
In the present paper, we study the normalized solutions for the following quasilinear Schrödinger equations: with prescribe…
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}…