关于连接拉格朗日子流形的Hamilton路的存在性
On the existence of Hamiltonian paths connecting Lagrangian submanifolds
摘要：
本文利用一种新的变分方法--基于文献[2]和[3]中发展的反自对偶拉格朗日理论--建立了连接$\R^{2N}$中两个给定拉格朗日子流形的凸哈密顿系统解的存在性.我们还考虑的情况下，哈密尔顿是唯一的半凸。一个变分原理也被用来建立相应的柯西问题的存在性。周期解的情况将在即将发表的论文中讨论[5]。
英文摘要：
We use a new variational method --based on the theory of anti-selfdual Lagrangians developed in [2] and [3]-- to establish the existence of solutions of convex Hamiltonian systems that connect two given Lagrangian submanifolds in $\R^{2N}$. We also consider the case where the Hamiltonian is only semi-convex. A variational principle is also used to establish existence for the corresponding Cauchy problem. The case of periodic solutions will be considered in a forthcoming paper [5].
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
