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arXiv · 1609.08903

A gluing approach for the fractional Yamabe problem with isolated singularities

Weiwei Ao·Azahara DelaTorre·Maria del Mar Gonzalez·Juncheng Wei
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Abstract

We construct solutions for the fractional Yamabe problem that are singular at a prescribed number of isolated points. This seems to be the first time that a gluing method is successfully applied to a non-local problem. The main step is an infinite-dimensional Lyapunov-Schmidt reduction method, that reduces the problem to an (infinite dimensional) Toda type system.

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Weiwei Ao, Azahara DelaTorre, Maria del Mar Gonzalez, Juncheng Wei. 2016-09-28. A gluing approach for the fractional Yamabe problem with isolated singularities. https://arxiv.org/abs/1609.08903

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