JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 卷:484 |
Bifurcations of radially symmetric solutions in a coupled elliptic system with critical growth in Rd for d=3, 4 | |
Article | |
Yagasaki, Kazuyuki1  Stachowiak, Tomasz1  | |
[1] Kyoto Univ, Grad Sch Informat, Dept Appl Math & Phys, Sakyo Ku, Yoshida Honmachi, Kyoto 6068501, Japan | |
关键词: Elliptic system; Radially symmetric solution; Entire solution; Bifurcation; Homoclinic orbit; | |
DOI : 10.1016/j.jmaa.2019.123726 | |
来源: Elsevier | |
【 摘 要 】
We consider a system of coupled elliptic partial differential equations with critical growth in R-d for d = 3,4 and study bifurcations of three families of radially symmetric, bounded solutions. We reduce the problems of the three families to those of three symmetric homoclinic orbits in a four-dimensional reversible system of ordinary differential equations and show that transcritical or pitchfork bifurcations of the three families occur at infinitely many parameter values. Numerical computations are also given to demonstrate our theoretical results. (C) 2019 Elsevier Inc. All rights reserved.
【 授权许可】
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