论文标题
非线性特征值问题的解决方案分支在受限域
Solution branches of nonlinear eigenvalue problems on restricted domains
论文作者
论文摘要
我们将非线性特征值问题的分叉结果从真实的Banach空间到给定点的任何社区。对于这些限制域上的奇数多重性点，我们确定通过分叉点的解决方案的组件要么是无界的，要承认边界上的累加点，或者包含偶数奇数的多重性点。在简单的多样性情况下，我们显示在相应特征向量的方向上解决方案的分支满足我们域上的类似条件。
We extend bifurcation results of nonlinear eigenvalue problems from real Banach spaces to any neighbourhood of a given point. For points of odd multiplicity on these restricted domains, we establish that the component of solutions through the bifurcation point either is unbounded, admits an accumulation point on the boundary, or contains an even number of odd multiplicity points. In the simple multiplicity case, we show that branches of solutions in the directions of corresponding eigenvectors satisfy similar conditions on our domains.
