23 citations · 52 across the 25 of their papers we have counts for
26 papers
Gradient estimates and Liouville theorems for Lichnerowicz-type equation on Riemannian manifolds
Youde Wang, Aiqi Zhang
In this paper we consider the gradient estimates on positive solutions to the following elliptic (Lichnerowicz) equation defined on a complete Riemannian manifold : $$Δv +…
Rigidity and ε-regularity theorems of Ricci shrinkers
Jie Wang, Youde Wang
In this paper, we study the rigidity and ε-regularity theorems of Ricci shrinkers. First we prove the rigidity of the asymptotic volume ratio and local volume around a base point o…
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…
Existence and uniqueness of local regular solution to the Schrödinger flow from a bounded domain in into
Bo Chen, Youde Wang
In this paper, we show the existence and uniqueness of local regular solutions to the initial-Neumann boundary value problem of Schrödinger flow from a smooth bounded domain $Ω\sub…
Smooth solutions to the Schrödinger flow for maps from smooth bounded domains in Euclidean spaces into
Bo Chen, Youde Wang
The results of this paper are twofold. One is that we show the local existence and uniqueness of very regular or smooth solution to the initial-Neumann boundary value problem of th…
Gradient Estimates For and its Parabolic Counterpart Under Integral Ricci Curvature Bounds
Jie Wang, Youde Wang
In this paper, we consider a class of important nonlinear elliptic equations on a collapsed complete Riemannian manifold and its parabolic counterp…