Compactness of solutions to higher order elliptic equations
arXiv:2108.11615
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.
arXiv admin note: text overlap with arXiv:1707.01198; text overlap with arXiv:1411.5743, arXiv:1506.00739 by other authors