Guodong Wei

activity

20172026

most citedOn the Fill-in of Nonnegative Scalar Curvature Metrics

4 citations · 9 across the 9 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DG2020★ 2 cited

Yau Type Gradient Estimates For $Δ u + a u (lo g u)^{p} + b u = 0$ On Riemannian Manifolds

Bo Peng, Youde Wang, Guodong Wei

In this paper, we consider the gradient estimates of the positive solutions to the following equation defined on a complete Riemannian manifold $(M, g)$ $$Δu + au(\log u)^{p}+bu=0,…

math.DG2020

Gradient Estimates For $Δ u + a u^{p + 1} = 0$ And Liouville Theorems

Bo Peng, Youde Wang, Guodong Wei

In this short note, we use a unified method to consider the gradient estimates of the positive solution to the following nonlinear elliptic equation $Δ u + a u^{p + 1} = 0$ defined on a…

math.DG2020

Total mean curvature of the boundary and nonnegative scalar curvature fill-ins

Yuguang Shi, Wenlong Wang, Guodong Wei

In the first part of this paper, we prove the extensibility of an arbitrary boundary metric to a positive scalar curvature (PSC) metric inside for a compact manifold with boundary,…

Yau Type Gradient Estimates For Δu+au(logu)p+bu=0 On Riemannian Manifolds

Gradient Estimates For Δu+aup+1=0 And Liouville Theorems

Total mean curvature of the boundary and nonnegative scalar curvature fill-ins

Yau Type Gradient Estimates For $Δ u + a u (lo g u)^{p} + b u = 0$ On Riemannian Manifolds

Gradient Estimates For $Δ u + a u^{p + 1} = 0$ And Liouville Theorems