Multiplicity of Lagrangian orbits on symmetric star-shaped hypersurfaces

作者：Guo Fei; Liu Chungen^*

来源：Nonlinear Analysis-Theory Methods & Applications, 2008, 69(4): 1425-1436.

DOI：10.1016/j.na.2007.06.042

• symmetric star-shaped hypersurfaces
• multiplicity
• Lagrargian orbits
• Z(2)-index theory

In this paper, the Multiplicity of Lagrangian orbits on C-2 smooth compact symmetric star-shaped hypersurfaces Sigma with respect to the origin in R-2n, is studied. We prove an infinitely many existence result via Z(2)-index theory. This is a multiplicity result about the Arnold chord in some sense.

• 出版日期2008-8-15
• 单位南开大学; 天津大学