Daowen Lin

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20222026

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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…

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

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