3 papers
math.AP2026
Uncountably many non-rotationally symmetric type II ancient Yamabe flows on the sphere
Haixia Chen, Seunghyeok Kim, Monica Musso
For every , we construct uncountably many families of type II ancient solutions to the Yamabe flow on the unit round -sphere $\Ss^n$. These families are pairwise distin…
math.AP2025
Sharp quantitative stability estimates for the Brezis-Nirenberg problem
Haixia Chen, Seunghyeok Kim, Juncheng Wei
We study the quantitative stability for the classical Brezis-Nirenberg problem associated with the critical Sobolev embedding in a…
math.AP2024
Sharp quantitative stability estimates for critical points of fractional Sobolev inequalities
Haixia Chen, Seunghyeok Kim, Juncheng Wei
By developing a unified approach based on integral representations, we establish sharp quantitative stability estimates for critical points of the fractional Sobolev inequalities i…