55 citations · 329 across the 34 of their papers we have counts for
7 papers · 1 filter
Kazdan-Warner equation on graph in the negative case
Huabin Ge
Let be a connected finite graph. In this short paper, we reinvestigate the Kazdan-Warner equation with on , where defined on is a known fun…
A p-th Yamabe equations on graph
Huabin Ge
Assume . Consider the following -th Yamabe equation on a connected finite graph : where is the discrete -Laplacian, and $…
p-th Kazdan-Warner equation on graph
Huabin Ge
Let be a connected finite graph and be the set of functions defined on . Let be the discrete -Laplacian on with and , where $k\in C(…
Liouville-type theorems on the complete gradient shrinking Ricci solitons
Huabin Ge, Shijin Zhang
We prove that there does not exist non-constant positive -harmonic function on the complete gradient shrinking Ricci solitons. We also prove the $L^{p}(p\geq 1 \ {\rm or}\ 0<p\l…
On the deformation of inversive distance circle packings, II
Huabin Ge, Wenshuai Jiang
We show that the results in \cite{Ge-Jiang1} are still true in hyperbolic background geometry setting, that is, the solution to Chow-Luo's combinatorial Ricci flow can always be ex…
On the deformation of discrete conformal factors on surfaces
Huabin Ge, Wenshuai Jiang
In \cite{Luo0}, Feng Luo conjectured that the discrete Yamabe flow will converge to the constant curvature PL-metric after finite number of surgeries on the triangulation. In this…
On the deformation of inversive distance circle packings
Huabin Ge, Wenshuai Jiang
In this paper, we generalize Chow-Luo's combinatorial Ricci flow to inversive distance circle packing setting. Although the solution to the generalized flow may develop singulariti…