Juncheng Wei

activity

20242026

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2 papers · 1 filter

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 $H_{0}^{1} (Ω) ↪ L^{\frac{2 n}{n - 2}} (Ω)$ in a…

math.AP2025

Compactness and non-compactness theorems of the fourth- and sixth-order constant $Q$ -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 $Q$ -curvature problems on smooth closed Riem…

Sharp quantitative stability estimates for the Brezis-Nirenberg problem

Compactness and non-compactness theorems of the fourth- and sixth-order constant Q-curvature problems

Compactness and non-compactness theorems of the fourth- and sixth-order constant $Q$ -curvature problems