3 papers
math.AP2026
A Sharp Sobolev Inequality on Compact CR Manifolds
Zhongwei Tang, Bingwei Zhang
For any \(n\geq 1\), let \((M,θ)\) be a compact strictly pseudoconvex hypersurface type CR manifold with dimension \(2n+1\), \(Q=2n+2\) be its homogeneous dimension. We prove the s…
math.AP2026
Compactness of Solutions to Sub-Elliptic Equations with Potential on the Heisenberg Group
Jiechen Qiang, Zhongwei Tang, Yichen Zhang +1
In this paper, we investigate the compactness of nonnegative solutions to a critical sub-elliptic equation with a nonnegative potential on the Heisenberg group. We establish compac…
math.AP2024
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 $…