3 papers
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.AP2025
Compactness and non-compactness theorems of the fourth- and sixth-order constant -curvature problems
Liuwei Gong, Seunghyeok Kim, Juncheng Wei
We provide a complete resolution to the question of compactness for the full solution sets of the fourth-order and sixth-order constant -curvature problems on smooth closed Riem…
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…