计算圆域上p-Henon方程边值问题多个正解的分歧方法

李昭祥; 杨忠华

doi:10.3879/j.issn.1000-0887.2010.04.010

计算圆域上p-Henon方程边值问题多个正解的分歧方法

doi: 10.3879/j.issn.1000-0887.2010.04.010

李昭祥^1,2,
杨忠华^1,2

1.
上海师范大学计算数学系,上海 200234;
科学计算上海高校重点实验室, 上海 200234

基金项目: 国家自然科学基金资助项目(10901106);上海市重点学科建设资助项目(S30405);上海市自然科学基金资助项目(09ZR1423200);上海市科委创新资助项目(09YZ150);上海市教委高校优青培养科研专项基金资助项目(RE948);上海师范大学科研项目资助(SK200936)

详细信息

作者简介:
李昭祥(1973- ),男,江苏东台人,讲师,博士(联系人.Tel:+86-21-64324866;E-mail:zxli@shnu.edu.cn).

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出版历程
- 收稿日期: 1900-01-01
- 修回日期: 2010-02-22
- 刊出日期: 2010-04-15

Bifurcation Method for Solving Multiple Positive Solutions to Boundary Value Problem of p-Henon Equation on the Unit Disk

LI Zhao-xiang^1,2,
YANG Zhong-hua^1,2

1.
Department of Mathematics, Shanghai Normal University, Shanghai, 200234, P. R. China;
Scientific Computing Key Laboratory of Shanghai University, Shanghai 200234, P. R. China

摘要

摘要: 首先应用分歧方法给出计算p-Henon方程边值问题O(2)对称正解的算法，然后以p-Henon方程中的参数l为分歧参数，在O(2)对称正解解枝上用扩张系统方法求出对称破缺分歧点，进而用解枝转接方法计算出其它具有不同对称性质的正解．
- p-Henon方程 /
- 对称破缺分歧 /
- 多解 /
- 扩张系统 /
- 解枝转接
Abstract: An algorithm which was applied to solving theO(2)symmetric positive solutions to the boundary value problem ofp-Henon equation was proposed.Taking linp-Henon equation as a bifurcation parameter,the symmetry-breaking bifurcation point on the branch of theO(2) symmetric positive solutions was found via the extended systems.Finally,other symmetric positive solutions were computed by the branch switching method based on the Liapunov-Schmid treduction.
- p-Henon equation /
- symmetry-breaking bifurcation /
- multiple solutions /
- extended system /
- branch switching

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参考文献(17)

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计算圆域上p-Henon方程边值问题多个正解的分歧方法

doi: 10.3879/j.issn.1000-0887.2010.04.010

作者简介:
李昭祥(1973- ),男,江苏东台人,讲师,博士(联系人.Tel:+86-21-64324866;E-mail:zxli@shnu.edu.cn).

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Bifurcation Method for Solving Multiple Positive Solutions to Boundary Value Problem of p-Henon Equation on the Unit Disk

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计算圆域上p-Henon方程边值问题多个正解的分歧方法

doi: 10.3879/j.issn.1000-0887.2010.04.010

作者简介: 李昭祥(1973- ),男,江苏东台人,讲师,博士(联系人.Tel:+86-21-64324866;E-mail:zxli@shnu.edu.cn).

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Bifurcation Method for Solving Multiple Positive Solutions to Boundary Value Problem of p-Henon Equation on the Unit Disk

计量

出版历程

目录

作者简介:
李昭祥(1973- ),男,江苏东台人,讲师,博士(联系人.Tel:+86-21-64324866;E-mail:zxli@shnu.edu.cn).