Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One
Bifurcation from Simple Eigenvalues and Eigenvalues of Geometric Multiplicity One
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DOI：
10.1112/s002460930200108x
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发表时间：
2002-09
影响因子：
0.9
通讯作者：
E. N. Dancer
中科院分区：
文献类型：
--
作者：
E. N. Dancer
我们构造了一个反例，证明了从零点线性化的简单特征值出发的非平凡解的分支确实可以出现一个约束的全局解结构。此外，对于几何重数为1的特征值和奇代数重数的特征值的分支，也得到了新的结果和反例。2000年数学学科分类58E07、47J15、37G10。
A counterexample has been constructed to show that a conjectured global solution structure for bifurcation of non‐trivial solutions from a simple eigenvalue of the linearization at zero really can occur. In addition, new results and counterexamples have been obtained for bifurcation from an eigenvalue of geometric multiplicity 1 and odd algebraic multiplicity. 2000 Mathematics Subject Classification 58E07, 47J15, 37G10.