论文标题
膜与边界的对称破坏分叉
Symmetry Breaking Bifurcation of Membranes with Boundary
论文作者
论文摘要
由于Crandall和Rabinowitz，我们使用分叉理论来表明对对称性破坏具有固定边界膜方程的特定一个参数族的分叉分叉。代替直接与第四阶膜方程一起工作，它被[16]中的二阶减少所取代。
We use a bifurcation theory due to Crandall and Rabinowitz to show the existence of a symmetry breaking bifurcation of a specific one parameter family of axially symmetric disc type solutions of a membrane equation with fixed boundary. In place of working directly with the fourth order membrane equation, it is replaced by a second order reduction found in [16].
