8 citations · 26 across the 15 of their papers we have counts for
5 papers · 1 filter
Sovability of curvature equations with multiple singular sources on torus via Painleve VI equations
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
We study the curvature equation with multiple singular sources on a torus \[Δu+e^{u}=8π\sum_{k=0}^{3}n_{k}δ_{\frac{ω_{k}}{2}}% +4π\left( δ_{p}+δ_{-p}\right) \quad \text{ on }\;E_τ:…
Sharp results for spherical metric on flat tori with conical angle 6 at two symmetric points
Ting-Jung Kuo
In this paper, we investigate the following curvature equation: \begin{equation} Δu+e^{u}=8π(δ_{0}+δ_{\frac{ω_{k}}{2}})\text{ in } E_{τ}\text{, }τ\in \mathbb{H} (0.1) \label{a} \en…
Blow up at infinity in the SU(3) Chern-Simons model, part I
Ting-Jung Kuo, Youngae Lee, Chang-Shou Lin
We consider non-topological solutions of a nonlinear elliptic system problem derived from the Chern-Simons models in . The existence of non-topological soluti…
Non-existence of solutions for a mean field equation on flat tori at critical parameter
Zhijie Chen, Ting-Jung Kuo, Chang-Shou Lin
It is known from \cite{LW} that the solvability of the mean field equation with on a flat torus essentially depends on the geome…
CR Sub-Laplacian Comparison and Liouville-type Theorem in a Complete Noncompact Sasakian Manifold
Shu-Cheng Chang, Ting-Jung Kuo, Chien Lin +1
In this paper, we first obtain the sub-Laplacian comparison theorem in a complete noncompact pseudohermitian manifold of vanishing torsion (i.e. Sasakian manifold). Secondly, we de…