7 papers · 1 filter
The CR Nirenberg Problem, Part I: Blow-up Analysis and Compactness
Jiechen Qiang, Zhongwei Tang, Heming Wang
We establish a priori estimates and compactness results for positive solutions of the CR Nirenberg problem under natural weighted flatness conditions. The proofs combine refined bl…
Conformal Metrics on the unit Ball with Constant -Curvature, Constant -Curvature, and Minimal Boundary
Liming Sun, Heming Wang, Shihong Zhang
We completely classify conformal metrics on the unit ball , , with positive constant -curvature, positive constant -curvature, an…
A degree-counting formula for a Keller-Segel equation on a surface with boundary
Mohameden Ahmedou, Zhengni Hu, Heming Wang
In this paper, we consider the following Keller-Segel equation on a compact Riemann surface with smooth boundary : \[ -Δ_g u = ρ\Big(\frac{V e^u}{\int_Σ V e^u \…
New type of bubbling solutions to a critical fractional Schrödinger equation with double potentials
Ting Li, Zhongwei Tang, Heming Wang +1
In this paper, we study the following critical fractional Schrödinger equation: \begin{equation} (-Δ)^s u+V(|y'|,y'')u=K(|y'|,y'')u^{\frac{n+2s}{n-2s}},\quad u>0,\quad y =(y',y'')…
On the CR Nirenberg problem: density and multiplicity of solutions
Zhongwei Tang, Heming Wang, Bingwei Zhang
We prove some results on the density and multiplicity of positive solutions to the prescribed Webster scalar curvature problem on the -dimensional standard unit CR sphere $…
On the density and multiplicity of solutions to the fractional Nirenberg problem
Zhongwei Tang, Heming Wang, Ning Zhou
This paper is devoted to establishing some results on the density and multiplicity of solutions to the fractional Nirenberg problem which is equivalent to studying the conformally…
Unified results of compactness and existence for prescribing fractional -curvatures problem
Yan Li, Zhongwei Tang, Heming Wang +1
In this paper we study the problem of prescribing fractional -curvature of order for a conformal metric on the standard sphere $\Sn$ with and . Compa…