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arXiv · 1501.00641

On perturbations of the fractional Yamabe problem

Woocheol Choi·Seunghyeok Kim
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Abstract

The fractional Yamabe problem, proposed by Gonz\'{a}lez-Qing (2013, Anal. PDE) 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.

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Woocheol Choi, Seunghyeok Kim. 2015-01-04. On perturbations of the fractional Yamabe problem. https://arxiv.org/abs/1501.00641

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