On perturbations of the fractional Yamabe problem

作者：Woocheol Choi, Seunghye Kim · 年份：2015 · DOI：10.1007/s00526-016-1095-3 · 被引用次数：23 · 研究领域：Mathematics

The fractional Yamabe problem, proposed by González and Qing (Analysis PDE 6:1535–1576, 2013), is a geometric question which concerns the existence of metrics with constant fractional scalar curvature. It extends the phenomena which were discovered in the classical Yamabe problem and the boundary Yamabe problem to the realm of nonlocal conformally invariant operators. We investigate a non-compactness property of the fractional Yamabe problem by constructing bubbling solutions to its small perturbations.