关于商Aubry集的全不连通性
On the total disconnectedness of the quotient Aubry set
摘要：
在本文中，我们证明了商Aubry集与某些拉格朗日是全不连通的（即，每个连接的分量由单个点组成）。此外，我们讨论了这个问题与Hamilton-Jacobi方程临界下解（差）的Morse-Sard型性质之间的关系。
英文摘要：
In this paper we show that the quotient Aubry set associated to certain Lagrangians is totally disconnected (i.e., every connected component consists of a single point). Moreover, we discuss the relation between this problem and a Morse-Sard type property for (difference of) critical subsolutions of Hamilton-Jacobi equations.
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。
