4 papers · 1 filter
Inequalities between Dirichlet and Neumann Eigenvalues on Surfaces
Bobo Hua, Florentin Münch, Haohang Zhang
For a bounded Lipschitz domain in a Riemannian surface satisfying certain curvature condition, we prove that where ( resp.) is the -…
Eigenvalue estimates for the poly-Laplace operator on lattice subgraphs
Bobo Hua, Ruowei Li
We introduce the discrete poly-Laplace operator on a subgraph with Dirichlet boundary condition. We obtain upper and lower bounds for the sum of the first Dirichlet eigenvalues…
Cheeger type inequalities associated with isocapacitary constants on graphs
Bobo Hua, Florentin Münch, Tao Wang
In this paper, we introduce Cheeger type constants via isocapacitary constants introduced by Maz'ya to estimate first Dirichlet, Neumann and Steklov eigenvalues on a finite subgrap…
A version of Bakry-Émery Ricci flow on a finite graph
Bobo Hua, Yong Lin, Tao Wang
In this paper, we study the Bakry-Émery Ricci flow on finite graphs. Our main result is the local existence and uniqueness of solutions to the Ricci flow. We prove the long-time co…