Bifurcation method for solving multiple positive solutions to boundary value problem of p-Henon equation on the unit disk

被引：0
|
作者：
Zhao-xiang Li
Zhong-hua Yang
机构：
[1] Shanghai Normal University,Department of Mathematics, Scientific Computing Key Laboratory of Shanghai University
来源：
Applied Mathematics and Mechanics | 2010年 / 31卷
关键词：
-Henon equation; symmetry-breaking bifurcation; extended system; branch switching; multiple solutions; O175; 35J65; 85A15;
D O I：
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学科分类号：
摘要：
In this paper, an algorithm is proposed to solve the O(2) symmetric positive solutions to the boundary value problem of the p-Henon equation. Taking l in the p-Henon equation as a bifurcation parameter, the symmetry-breaking bifurcation point on the branch of the O(2) symmetric positive solutions is found via the extended systems. The other symmetric positive solutions are computed by the branch switching method based on the Liapunov-Schmidt reduction.
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页码：511 / 520
页数：9
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