Jie He

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math.DG2023

Gradient estimate for solutions of the equation $Δ_{p} v + a v^{q} = 0$ 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 $Δ_{p} v + a v^{q} = 0$ defined on a co…

math.DG2018

Levi-Civita Ricci-flat metrics on compact complex manifolds

Jie He, Kefeng Liu, Xiaokui Yang

In this paper, we study the geometry of compact complex manifolds with Levi-Civita Ricci-flat metrics and prove that compact complex surfaces admitting Levi-Civita Ricci-flat metri…

Gradient estimate for solutions of the equation Δp​v+avq=0 on a complete Riemannian manifold

Levi-Civita Ricci-flat metrics on compact complex manifolds

Gradient estimate for solutions of the equation $Δ_{p} v + a v^{q} = 0$ on a complete Riemannian manifold