42 citations · 263 across the 62 of their papers we have counts for
69 papers
Generic properties of discrete Steklov eigenfunctions
Lixiang Chen, Bobo Hua, Yongtang Shi
Let be a finite connected graph with boundary . We prove that for a generic positive edge weight function , the Steklov eigenvalues of $(G,B,w)…
Some variants of discrete positive mass theorems on graphs
Bobo Hua, Florentin Münch, Haohang Zhang
Inspired by asymptotically flat manifolds, we introduce the concept of asymptotically flat graphs and define the discrete ADM mass on them. We formulate the discrete positive mass…
A combinatorial curvature flow in spherical background geometry
Huabin Ge, Bobo Hua, Puchun Zhou
In [12], the existence of ideal circle patterns in Euclidean or hyperbolic background geometry under the combinatorial conditions was proved using flow approaches. It remains as an…
Graphs with nonnegative curvature outside a finite subset, harmonic functions and number of ends
Bobo Hua, Florentin Münch
We study graphs with nonnegative Bakry-Émery curvature or Ollivier curvature outside a finite subset. For such a graph, via introducing the discrete Gromov-Hausdorff convergence we…
Discrete Schwarz rearrangement in lattice graphs
Hichem Hajaiej, Fengwen Han, Bobo Hua
In this paper, we prove a discrete version of the generalized Riesz inequality on . As a consequence, we will derive the extended Hardy-Littlewood and Pólya-Szegö ine…
Extremal functions for the second-order Sobolev inequality on groups of polynomial growth
Bobo Hua, Ruowei Li, Florentin Münch
In this paper, we prove the second-order Sobolev inequalities on Cayley graphs of groups of polynomial growth. We use the discrete Concentration-Compactness principle to prove the…