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math.AP2021
Compactness of solutions to higher order elliptic equations
Miaomiao Niu, Zhongwei Tang, Ning Zhou
We use blow up analysis for local integral equations to prove compactness of solutions to higher order critical elliptic equations provided the potentials only have non-degenerate…
math.AP2021
Sharp Sobolev inequalities involving boundary terms revisited
Zhongwei Tang, Jingang Xiong, Ning Zhou
We revisit the sharp Sobolev inequalities involving boundary terms on Riemannian manifolds with boundaries proved by \emph{[Y.Y. Li and M. Zhu, Geom. Funct. Anal. \textbf{8} (1998)…