论文标题

具有处方渐近药的Yamabe型系统的单数解决方案

Singular solutions to Yamabe-type systems with prescribed asymptotics

论文作者

Caju, Rayssa, Ó, João Marcos do, Santos, Almir Silva

论文摘要

我们的主要目的是研究一类强耦合的非线性椭圆系统,在紧凑的riemannian歧管和恒定标态曲率的紧凑型歧管中具有关键的生长。使用胶合技术和扰动参数,我们表明了近亲型溶液渐近溶液的存在,以近距离奇异性附近的Fowler型溶液。

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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