【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.更多还原

【Abstract】 An algorithm which was applied to solving the O(2) symmetric positive solutions to the boundary value problem of p-Henon equation was proposed.Taking l in p-Henon equation as a bifurcation parameter,the symmetry-breaking bifurcation point on the branch of the O(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-Schmidt reduction.更多还原