3 papers
math.AP2025
Composite media, almost touching disks and the maximum principle
YanYan Li, Ben Weinkove
We consider the setting of two disks in a domain in which are almost touching and have finite and positive conductivities, giving rise to a divergence form elliptic…
math.AP2024
Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula
BaoZhi Chu, YanYan Li, Zongyuan Li
The curvature and the boundary curvature arise naturally from the Chern--Gauss--Bonnet formula for manifolds with boundary. In this paper, we prove a L…
math.AP2024
On the fully nonlinear Yamabe problem with constant boundary mean curvature. I
BaoZhi Chu, YanYan Li, Zongyuan Li
In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optima…