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arXiv · 2009.01787

Singular solutions to Yamabe-type systems with prescribed asymptotics

Rayssa Caju·João Marcos do Ó·Almir Silva Santos
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Abstract

Our primary purpose is to study a class of strongly coupled nonlinear elliptic systems with critical growth in a compact Riemannian manifold with constant scalar curvature. Using a gluing technique and perturbation arguments, we show the existence of singular solutions asymptotic to a Fowler-type solution near the isolated singularity.

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Rayssa Caju, João Marcos do Ó, Almir Silva Santos. 2020-09-03. Singular solutions to Yamabe-type systems with prescribed asymptotics. https://arxiv.org/abs/2009.01787

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