4 citations · 9 across the 13 of their papers we have counts for
16 papers
Adaptive Event-Triggered Model Predictive Coverage Control with Average Update-Rate Regulation
Pengbo Zhu, Jicheng Shi, Colin N. Jones +1
Model predictive coverage control for multi-agent systems operates under tight communication and computation budgets, which requires it to balance the load of optimization against…
-Integrability of -Harmonic Forms and the Hopf Conjecture
Teng Huang, Weike Yu
In this note, we study -harmonic forms on complete simply-connected Riemannian manifolds with non-positive sectional curvature. We first establish an a priori -e…
Prescribed Chern scalar curvature on complete noncompact Hermitian manifolds with nonpositive curvatures
Weike Yu
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures, and establish some existenc…
Prescribed Chern scalar curvatures on complete Hermitian manifolds
Weike Yu
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds, and generalize the Aviles-McOwen's existence results [J…
Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree
Weike Yu
In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal cla…
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…
The Kazdan-Warner problem on compact Kähler surfaces
Weike Yu
In this paper, we investigate a Kazdan-Warner problem on compact Kähler surfaces, which corresponds to prescribing sign-changing Chern scalar curvatures, and establish a Chen-Li ty…
A note on Kazdan-Warner type equations on compact Riemannian manifolds
Weike Yu
In this note, we prove an existence result for generalized Kazdan-Warner equations on compact Riemannian manifolds by using the flow approach or the upper and lower solution method…
Prescribed Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree
Weike Yu
In this paper, we investigate the problem of prescribing Chern scalar curvatures on compact Hermitian manifolds with negative Gauduchon degree. By studying the convergence of the a…
A generalization of the Schwarz lemma for transversally harmonic maps
Xin Huang, Weike Yu
In this paper, we consider transversally harmonic maps between Riemannian manifolds with Riemannian foliations. In terms of the Bochner techniques and sub-Laplacian comparison theo…
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[|…
Tamed exhaustion functions and Schwarz type lemmas for almost Hermitian manifolds
Weike Yu
In this paper, we study a special exhaustion function on almost Hermitian manifolds and establish the existence result by using the Hessian comparison theorem. From the viewpoint o…
Prescribed Webster scalar curvatures on compact pseudo-Hermitian manifolds
Yuxin Dong, Yibin Ren, Weike Yu
In this paper, we investigate the problem of prescribing Webster scalar curvatures on compact pseudo-Hermitian manifolds. In terms of the method of upper and lower solutions and th…
Generalized maximum principles and stochastic completeness for pseudo-Hermitian manifolds
Yuxin Dong, Weike Yu
In this paper, we establish a generalized maximum principle for pseudo-Hermitian manifolds. As corollaries, Omori-Yau type maximum principles for pseudo-Hermitian manifolds are ded…
Schwarz type lemmas for generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds
Tian Chong, Yuxin Dong, Yibin Ren +1
In this paper, we consider some generalized holomorphic maps between pseudo-Hermitian manifolds and Hermitian manifolds. By Bochner formulas and comparison theorems, we establish r…
Schwarz type lemmas for pseudo-Hermitian manifolds
Yuxin Dong, Yibin Ren, Weike Yu
In this paper, we consider some generalized holomorphic maps between pseudo-Hermitian manifolds. These maps include the \emph{CR} maps and the transversally holomorphic maps. In te…