国家自然科学基金(s11201222)

作品数：3被引量：1H指数：1
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Non-degeneracy of Extremal Points
《Chinese Annals of Mathematics,Series B》2015年第1期45-50,共6页Min ZHOU 
supported by the National Natural Science Foundation of China(Nos.11201222,11171146);the Basic Research Program of Jiangsu Province(No.BK2008013);a program of the Priority Academic Program Development of Jiangsu Province
For a family of smooth functions, the author shows that, under certain generic conditions, all extremal(minimal and maximal) points are non-degenerate.
关键词：NON-DEGENERACY Extremal point Generic condition 
Non-differentiability of Alpha Function at the Boundary of Flat
《Acta Mathematica Sinica,English Series》2014年第8期1341-1352,共12页Jian Lu ZHANG Min ZHOU 
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
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 t...
关键词：Mather theory α function mechanical systems 
Mather theory for piecewise smooth Lagrangian systems被引量：1
《Science China Mathematics》2014年第5期1033-1044,共12页ZHOU Min 
supported by National Natural Science Foundation of China(Grant Nos.11201222 and 11171146);Basic Research Program of Jiangsu Province(Grant No.BK2008013)
We establish the Mather theory for a type of piecewise smooth and positive definite Lagrangian systems.It models a mechanical system subject to external impulsive forcing.We show the existence of the minimal measure a...
关键词：positive definite Lagrangian Mather theory piecewise smooth 
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