4 papers
Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation (after Chen and Wu)
Pak Tung Ho, Jinwoo Shin
In this paper, the compactness of the solutions to the constant scalar curvature and constant boundary mean curvature equation is considered. Chen and Wu constructed a smooth count…
Deformation of the Weighted Scalar Curvature
Pak Tung Ho, Jinwoo Shin
Inspired by the work of Fischer-Marsden [Duke Math. J. 42 (1975), 519-547], we study in this paper the deformation of the weighted scalar curvature. By studying the kernel of the f…
Convergence rate of the weighted Yamabe flow
Pak Tung Ho, Jinwoo Shin, Zetian Yan
The weighted Yamabe flow was the geometric flow introduced to study the weighted Yamabe problem on smooth metric measure spaces. Carlotto, Chodosh and Rubinstein have studied the c…
Some results on the weighted Yamabe problem with or without boundary
Pak Tung Ho, Jinwoo Shin, Zetian Yan
Let be a compact smooth metric measure space with boundary with . In this article, we consider several Yamabe-type problems on a com…