4 citations · 9 across the 9 of their papers we have counts for
10 papers
Diffusion and reaction in the quasi-spherical equation: mean curvature deformations for fill-Ins
Wenlong Wang, Guodong Wei
We study the diffusion and reaction effects of Bartnik's quasi-spherical equation to deform boundary mean curvature in fill-in problems with scalar curvature bounded below. The dif…
Quasi-linear equation on manifolds with integral bounded Ricci curvature and geometric applications
Youde Wang, Guodong Wei, Liqin Zhang
We study nonexistence results and gradient estimates for solutions of \[ Δ_p v + a v^{q}=0 \] defined on complete Riemannian manifolds satisfying a \emph{-type Sobolev inequalit…
Gradient estimate for solutions of the equation on a complete Riemannian manifold
Jie He, Youde Wang, Guodong Wei
In this paper, we use Nash-Moser iteration method to study the local and global behaviours of positive solutions to the nonlinear elliptic equation defined on a co…
Yau Type Gradient Estimates For 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 $$Δu + au(\log u)^{p}+bu=0,…
Gradient Estimates For 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 defined on a…
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,…