5 citations · 9 across the 13 of their papers we have counts for
Showing 2019Show all
2 papers · 1 filter
math.FA2019★ 1 cited
Extremal functions for a singular Hardy-Moser-Trudinger inequality
Songbo Hou
In this paper, using blow-up analysis, we prove a singular Hardy-Morser-Trudinger inequality, and find its extremal functions. Our results extend those of Wang-Ye (Adv. Math. 2012)…
math.DG2019
Gradient estimates for the Allen-Cahn equation on Riemannian manifolds
Songbo Hou
In this paper, we consider bounded positive solutions to the Allen-Cahn equation on complete noncompact Riemannian manifolds without boundary. We derive gradient estimates for thos…