Non-differentiability of Alpha Function at the Boundary of Flat

Non-differentiability of Alpha Function at the Boundary of Flat

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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.

作者 Jian Lu ZHANG Min ZHOU

机构地区 Department of Mathematics School of Information Management

出处《Acta Mathematica Sinica,English Series》 SCIE CSCD 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

关键词 Mather theory α function mechanical systems Mather theory, α function, mechanical systems

分类号 O241.8 [理学—计算数学]

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Acta Mathematica Sinica,English Series

2014年第8期

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Non-differentiability of Alpha Function at the Boundary of Flat

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