6 papers
Almost Lossless Transfer for Cuttable Distributed Problems
Wojciech Wawrzyniak
We study constant-round LOCAL approximation for additive local vertex-subset minimization problems. Given a -uniform -approximation on a hereditary source class closed under…
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…
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…
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…
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 $…
Interior estimates of derivatives and a Liouville type theorem for Parabolic -Hessian equations
Jiguang Bao, Jiechen Qiang, Zhongwei Tang +1
In this paper, we establish the gradient and Pogorelov estimates for -convex-monotone solutions to parabolic -Hessian equations of the form . We al…