Separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds
Separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds
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DOI：
10.1016/j.jmaa.2022.126028
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发表时间：
2022-01
影响因子：
1.3
通讯作者：
S. Hasegawa
中科院分区：
文献类型：
--
作者：
S. Hasegawa
本文讨论非紧黎曼流形上Lane-Emden方程径向解的分离现象。特别地，我们将证明超临界情况下径向解在Joseph-Lundgren意义下的分离性质，并表明Joseph-Lundgren指数是径向解分离现象的临界指数。此外，我们还讨论了径向解的稳定性和奇异解的存在性。
In this paper, we shall discuss separation phenomena of radial solutions to the Lane-Emden equation on non-compact Riemannian manifolds. In particular, we shall prove the separation property of radial solutions for the supercritical case in the sense of the Joseph-Lundgren, and show that the Joseph-Lundgren exponent is a critical exponent on the separation phenomena of radial solutions. Moreover, we also discuss the stability of radial solutions and the existence of a singular solution.