5 papers
Spectral gaps for noncompact hyperbolic surfaces with linearly many cusps
Qi Guo, Bobo Hua, Yang Shen
We construct complete finite-area noncompact hyperbolic surfaces with linearly many cusps and a uniform spectral gap. More precisely, for every \(θ>0\), we construct a sequence \(S…
Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary
Bobo Hua, Yang Shen
In this paper, we study the Steklov eigenvalue of a Riemannian manifold (M, g) with smooth boundary. For compact M , we establish a Cheeger-type inequality for the first Steklov ei…
The hot spots conjecture on Gaussian spaces
Bobo Hua, Jin Sun
We study the hot spots conjecture for domains in the Gaussian space for . Given a bounded domain with a piecewise smooth…
On area-minimizing subgraphs in integer lattices
Zunwu He, Bobo Hua
We introduce area-minimizing subgraphs in an infinite graph via the formulation of functions of bounded variations initiated by De Giorgi. We classify area-minimizing subgraphs in…
Liouville theorems for ancient solutions of subexponential growth to the heat equation on graphs
Bobo Hua, Wenhao Yang
Mosconi proved Liouville theorems for ancient solutions of subexponential growth to the heat equation on a manifold with Ricci curvature bounded below. We extend these results to g…