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arXiv · 2108.11615

Compactness of solutions to higher order elliptic equations

Miaomiao Niu·Zhongwei Tang·Ning Zhou
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Abstract

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 zeros. Secondly, corresponding to Schoen's Weyl tensor vanishing conjecture for the Yamabe equation on manifolds, we establish a Laplacian vanishing rate of the potentials at blow up points of solutions.

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Miaomiao Niu, Zhongwei Tang, Ning Zhou. 2021-08-26. Compactness of solutions to higher order elliptic equations. https://arxiv.org/abs/2108.11615

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