2 papers
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.AP2017
Compactness of solutions to nonlocal elliptic equations
Miaomiao Niu, Zhipeng Peng, Jingang Xiong
We show that all nonnegative solutions of the critical semilinear elliptic equation involving the regional fractional Laplacian are locally universally bounded. This strongly contr…