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...