Non-differentiability of Alpha Function at the Boundary of Flat  

作　　者：Jian Lu ZHANG Min ZHOU 

机构地区：[1]Department of Mathematics,Nanjing University [2]School of Information Management,Nanjing University

出　　处：《Acta Mathematica Sinica,English Series》2014年第8期1341-1352,共12页数学学报（英文版）

基　　金：Supported by National Natural Science Foundation of China(Grant Nos.11201222,11171146);National Basic Research Program of China(973 Program,2013CB834100);a program PAPD of Jiangsu Province,China

摘　　要：With the variational method introduced by Mather,we construct a mechanical Hamiltonian system whose α function has a flat F and is non-differentiable at the boundary F.In the case of two degrees of freedom,we prove that this phenomenon is stable under perturbations of Maé＇s.With the variational method introduced by Mather,we construct a mechanical Hamiltonian system whose α function has a flat F and is non-differentiable at the boundary F.In the case of two degrees of freedom,we prove that this phenomenon is stable under perturbations of Maé＇s.

关 键 词：Mather theory α function mechanical systems 

分 类 号：O241.8[理学—计算数学]