10 citations · 32 across the 23 of their papers we have counts for
8 papers · 1 filter
Essential self-adjointness and the -Liouville property
Bobo Hua, Jun Masamune, Radosław K. Wojciechowski
We discuss connections between the essential self-adjointness of a symmetric operator and the constancy of functions which are in the kernel of the adjoint of the operator. We then…
Steklov Eigenvalue Problem on Subgraphs of Integer Lattices
Wen Han, Bobo Hua
We study the eigenvalues of the Dirichlet-to-Neumann operator on a finite subgraph of the integer lattice Zn. We estimate the first n+1 eigenvalues using the number of vertices of…
Dirichlet p-Laplacian eigenvalues and Cheeger constants on symmetric graphs
Bobo Hua, Lili Wang
In this paper, we study eigenvalues and eigenfunctions of -Laplacians with Dirichlet boundary condition on graphs. We characterize the first eigenfunction (and the maximum eigen…
Sobolev-Type Inequalities and Eigenvalue Growth on Graphs with Finite Measure
Bobo Hua, Matthias Keller, Michael Schwarz +1
In this note we study the eigenvalue growth of infinite graphs with discrete spectrum. We assume that the corresponding Dirichlet forms satisfy certain Sobolev-type inequalities an…
First eigenvalue estimates of Dirichlet-to-Neumann operators on graphs
Bobo Hua, Yan Huang, Zuoqin Wang
Following Escobar [Esc97] and Jammes [Jam15], we introduce two types of isoperimetric constants and give lower bound estimates for the first nontrivial eigenvalues of Dirichlet-to-…
Davies-Gaffney-Grigor'yan lemma on simplicial complexes
Bobo Hua, Xin Luo
We prove Davies-Gaffney-Grigor'yan lemma for heat kernels of bounded discrete Hodge Laplacians on simplicial complexes.