Daowen Lin

activity

20222026

collaborators

4 papers

math.DG2026

Rigidity of conformal metrics with constant sixth-order $Q$ -curvature

Daowen Lin, Wangzhe Wu

Let $(M^{n}, g_{0})$ be a closed connected Einstein manifold with positive scalar curvature, where $n \geq 6$ . Using an Obata-type identity, we prove that every smooth metric conformal to…

math.AP2026

Classification of finite energy positive solutions to Yamabe-type equation on the fifteen dimensional octonionic Heisenberg group

Daowen Lin

We classify finite-energy positive solutions to the Yamabe-type equation on the 15-dimensional octonionic Heisenberg group, whose algebra is non-associative. Extremals for the Foll…

math.AP2024

Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities

Daowen Lin, Xi-Nan Ma

We derive an integral identity for a class $p$ -Laplace equation, and then classify all positive finite energy cylindrically symmetric solutions of the equation (\ref{1.2}) for $3\l…

math.AP2022

Liouville type theorem for a class quasilinear $p$ -Laplace type equation on the sphere

Daowen Lin, Xi-Nan Ma

We use the integral by parts to get a Liouville type theorem for a class quasilinear $p$ -Laplace type equation on the sphere, this $p$ -Laplace type equation arises from the study o…

Rigidity of conformal metrics with constant sixth-order Q-curvature

Classification of finite energy positive solutions to Yamabe-type equation on the fifteen dimensional octonionic Heisenberg group

Best constant and extremal functions for a class Hardy-Sobolev-Maz'ya inequalities

Liouville type theorem for a class quasilinear p-Laplace type equation on the sphere

Rigidity of conformal metrics with constant sixth-order $Q$ -curvature

Liouville type theorem for a class quasilinear $p$ -Laplace type equation on the sphere