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

arxiv: 1901.10174 · v1 · pith:TBUB445Qnew · submitted 2019-01-29 · 🧮 math.AP

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian H(p)in C⁰(mathbb{R}^n) with nge3

Peng Fa , Qianyun Miao , Yuan Zhou This is my paper

classification 🧮 math.AP

keywords mathbbabsoluteconcaveconvexdifferentiabilityeverywherehamiltonianlocally

0 comments

read the original 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 $\mathbb{R}^n$.

This paper has not been read by Pith yet.

Everywhere differentiability of absolute minimizers for locally strongly convex and concave Hamiltonian H(p)in C⁰(mathbb{R}^n) with nge3

discussion (0)