1 citations · 1 across the 4 of their papers we have counts for
5 papers
A parabolic flow approach to generalized Gauduchon metrics
Han Luo
We give a parabolic proof of the Fu-Wang-Wu theorem for semilinear elliptic equations associated with generalized Gauduchon metrics. Fixing a Hermitian metric , we introduce a f…
Sobolev Inequality In Manifolds With Lower Quadratic Curvature Decay
Tian Chong, Han Luo, Lingen Lu
By using the ABP method developed by Cabré and Brendle, we establish some Sobolev inequalities for compact domains and submanifolds in a complete Riemannian manifold with lower qua…
Liouville theorem for -harmonic heat flows
Han Luo, Weike Yu, Xi Zhang
In this paper, we investigate -harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectiona…
Gradient Estimate of subelliptic harmonic maps with potential
Han Luo
In this paper, we investigate subelliptic harmonic maps with potential from noncompact complete sub-Riemannian manifolds corresponding to totally geodesic Riemannian foliations. Un…
On subelliptic harmonic maps with potential
Yuxin Dong, Han Luo, Weike Yu
Let be a sub-Riemannian manifold and be a Riemannian manifold. For a smooth map , we consider the energy functional $E_G(u) = \frac{1}{2} \int_M[|…