18 citations · 47 across the 17 of their papers we have counts for
17 papers
A flow approach to the Orlicz-Minkowski problem for torsional rigidity
Weimin Sheng, Ke Xue
In this paper the Orlicz-Minkowski problem for torsional rigidity, a generalization of the classical Minkowski problem, is studied. Using the flow method, we obtain a new existence…
Flow by Gauss curvature to the -Gaussian Minkowski problem
Weimin Sheng, Ke Xue
In this paper, we study the -Gaussian Minkowski problem, which arises in the -Brunn-Minkowski theory in Gaussian probability space. We use Aleksandrov's variational metho…
Weak scalar curvature lower bounds along Ricci flow
Wenshuai Jiang, Weimin Sheng, Huaiyu Zhang
In this paper, we study Ricci flow on compact manifolds with a continuous initial metric. It was known from Simon that the Ricci flow exists for a short time. We prove that the sca…
A flow approach to the Musielak-Orlicz-Gauss image problem
Qi-Rui Li, Weimin Sheng, Deping Ye +1
In this paper, the extended Musielak-Orlicz-Gauss image problem is studied. Such a problem aims to characterize the Musielak-Orlicz-Gauss image measure $\widetilde{C}_{G,Ψ,λ}(Ω,\cd…
Removable singularity of positive mass theorem with continuous metrics
Wenshuai Jiang, Weimin Sheng, Huaiyu Zhang
In this paper, we consider asymptotically flat Riemannnian manifolds with metric and is smooth away from a closed bounded subset and the scalar curvatur…
A class of anisotropic expanding curvature flows
Weimin Sheng, Caihong Yi
We consider an expanding flow of smooth, closed, uniformly convex hypersurfaces in (n+1)-dimensional Euclidean space with speed fu^{alpha}{sigma}_k^{beta}, where u is the support f…