Clustered solutions to low-order perturbations of fractional Yamabe equations
Clustered solutions to low-order perturbations of fractional Yamabe equations
复制标题
分数阶 Yamabe 方程低阶扰动的聚类解
DOI：
10.1007/s00526-017-1253-2
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发表时间：
2017
影响因子：
2.1
通讯作者：
Kim Seunghyeok
中科院分区：
文献类型：
--
作者：
Chen Wenjing;Deng Shengbing;Kim Seunghyeok
设是一个渐近双曲流形，且是它的共形无穷远点。在一定的几何和维数假设下，我们构造了-Yamabe方程（）的低阶扰动的正簇解。这些解决方案当然表现出非孤立的爆破。
Letbe an asymptotically hyperbolic manifold andbe its conformal infinity. We construct positive clustered solutions to low-order perturbations of-Yamabe equations () on, which are slightly supercritical, under certain geometric and dimensional assumptions. These solutions certainly exhibit non-isolated blow-up.