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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.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 $…