Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H(p)\in C^0(\mathbb{R}^n)$ with $n\ge3$

Peng Fa; Qianyun Miao; Yuan Zhou

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arXiv · 1901.10174

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H(p)\in C^0(\mathbb{R}^n)$ with $n\ge3$

Peng Fa·Qianyun Miao·Yuan Zhou

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Abstract

Suppose that $n\ge3$ and $H(p)\in C^0(\mathbb{R}^n)$ is a locally strongly convex and concave Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for $H$ in any domain of $\mathbb{R}^n$.

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Peng Fa, Qianyun Miao, Yuan Zhou. 2019-01-29. Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian $H(p)\in C^0(\mathbb{R}^n)$ with $n\ge3$. https://arxiv.org/abs/1901.10174

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