1 citations · 1 across the 8 of their papers we have counts for
8 papers
A positive answer to the generalized Chang-Yang conjecture on
Changfeng Gui, Tuoxin Li, Juncheng Wei +1
We prove that for every integer and , Beckner's inequality \[ \fracα{2}\int_{\mathbb{S}^N}u(P_{N}u) dw+(N-1)!\int_{\mathbb{S}^N}u dw-\frac{(N-1)!}{N}\l…
Axially Symmetric Rigidity for a -Curvature-Type Equation on
Changfeng Gui, Tuoxin Li, Juncheng Wei +1
We prove that for every even integer or , every axially symmetric solution to the -curvature-type problem $$ αP_N u + (N-1)!(1-\frac{e^{Nu}}{\int_{\math…
Sharp Beckner's Inequalities for Axially Symmetric Functions on
Changfeng Gui, Tuoxin Li, Juncheng Wei +1
We prove that for every integer and , Beckner's inequality \begin{equation*} \fracα{2}\int_{\mathbb{S}^N}u(P_{N}u) dw+(N-1)!\int_{\mathbb{S}^N}u dw-\fr…
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…
Infinitely many solutions for the prescribed scalar curvature problem with volcano-like curvature
Tuoxin Li, Juncheng Wei, Haidong Yang
In this paper, we consider the following prescribed scalar curvature problem: \begin{equation*} -Δu = K(x) u^{\frac{n+2}{n-2}}, \quad u>0\quad\hbox{in}\quad \mathbb{R}^n, \quad u \…
On Beckner's Inequality for Axially Symmetric Functions on
Changfeng Gui, Tuoxin Li, Juncheng Wei +1
We prove that axially symmetric solutions to the -curvature type problem $$ αP_6 u + 120(1-\frac{e^{6u}}{\int_{\mathbb{S}^6} e^{6u}})=0 \ \ \ \ \ \mbox{on} \ \mathbb{S}^6 $$ mus…
On Sharp Beckner's Inequality for Axially Symmetric Functions on
Tuoxin Li, Juncheng Wei, Zikai Ye
We prove a sharp Beckner's inequality for axially symmetric functions on . The key ingredients of our proof is some pointwise quantitative properties of Gegenbauer polynomials…
Infinitely many nonradial positive solutions for multi-species nonlinear Schrödinger systems in
Tuoxin Li, Juncheng Wei, Yuanze Wu
In this paper, we consider the multi-species nonlinear Schrödinger systems in $\bbr^N$: \begin{equation*} \left\{\aligned&-Δu_j+V_j(x)u_j=μ_ju_j^3+\sum_{i=1;i\not=j}^dβ_{i,j} u_i^2…