Liuwei Gong

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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…

math.AP2025

Conformal metrics of constant scalar curvature with unbounded volumes

Liuwei Gong, Yanyan Li

For $n \geq 25$ , we construct a smooth metric $g ~$ on the standard $n$ -dimensional sphere $S^{n}$ such that there exists a sequence of smooth metrics $\{\tilde{g}_k\}_…

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

Conformal metrics of constant scalar curvature with unbounded volumes

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