Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3

Fa Peng; Qianyun Miao; Yuan Zhou

doi:10.1016/j.jfa.2020.108829

Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C^1,1(Rⁿ) with n ≥ 3

Fa Peng, Qianyun Miao^*, Yuan Zhou

^*Corresponding author for this work

School of Mathematics and Statistics

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

Abstract

Suppose that n≥3 and H(p)∈C^1,1(Rⁿ) is a locally strongly convex Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for H in any domain of Rⁿ.

Original language	English
Article number	108829
Journal	Journal of Functional Analysis
Volume	280
Issue number	3
DOIs	https://doi.org/10.1016/j.jfa.2020.108829
Publication status	Published - 1 Feb 2021

Keywords

Absolute minimizer
Aronsson equation
L-variational problem
Viscosity solution

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10.1016/j.jfa.2020.108829

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title = "Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3",

abstract = "Suppose that n≥3 and H(p)∈C1,1(Rn) is a locally strongly convex Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for H in any domain of Rn.",

keywords = "Absolute minimizer, Aronsson equation, L-variational problem, Viscosity solution",

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AU - Zhou, Yuan

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N2 - Suppose that n≥3 and H(p)∈C1,1(Rn) is a locally strongly convex Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for H in any domain of Rn.

AB - Suppose that n≥3 and H(p)∈C1,1(Rn) is a locally strongly convex Hamiltonian. We obtain the everywhere differentiability of all absolute minimizers for H in any domain of Rn.

KW - Absolute minimizer

KW - Aronsson equation

KW - L-variational problem

KW - Viscosity solution

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Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C^1,1(Rⁿ) with n ≥ 3

Abstract

Keywords

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Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3

Abstract

Keywords

Access to Document

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Cite this

Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C^1,1(Rⁿ) with n ≥ 3