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Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.jfa.2020.108829 Fa Peng , Qianyun Miao , Yuan Zhou
Journal of Functional Analysis ( IF 1.7 ) Pub Date : 2021-02-01 , DOI: 10.1016/j.jfa.2020.108829 Fa Peng , Qianyun Miao , Yuan Zhou
Abstract Suppose that n ≥ 3 and H ( p ) ∈ C 1 , 1 ( R n ) is a locally strongly convex Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for H in any domain of R n .
中文翻译:
局部强凸哈密顿量 H(p)∈C1,1(Rn) 的绝对极小值处处可微性,n ≥ 3
摘要 假设n ≥ 3 且H ( p ) ∈ C 1 , 1 ( R n ) 是局部强凸哈密顿量。我们获得了 R n 的任何域中 H 的所有绝对极小值的处处可微性。
更新日期:2021-02-01
中文翻译:
局部强凸哈密顿量 H(p)∈C1,1(Rn) 的绝对极小值处处可微性,n ≥ 3
摘要 假设n ≥ 3 且H ( p ) ∈ C 1 , 1 ( R n ) 是局部强凸哈密顿量。我们获得了 R n 的任何域中 H 的所有绝对极小值的处处可微性。