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

^*此作品的通讯作者

数学学院

Beihang University
Beijing Normal University

科研成果: 期刊稿件 › 文章 › 同行评审

2 引用（Scopus）

摘要

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.

源语言	英语
文章编号	108829
期刊	Journal of Functional Analysis
卷	280
期	3
DOI	https://doi.org/10.1016/j.jfa.2020.108829
出版状态	已出版 - 1 2月 2021

访问文件

10.1016/j.jfa.2020.108829

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{ede80db00e114d918a694adea4f2c793,

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",

author = "Fa Peng and Qianyun Miao and Yuan Zhou",

note = "Publisher Copyright: {\textcopyright} 2020",

year = "2021",

month = feb,

day = "1",

doi = "10.1016/j.jfa.2020.108829",

language = "English",

volume = "280",

journal = "Journal of Functional Analysis",

issn = "0022-1236",

publisher = "Academic Press Inc.",

number = "3",

}

TY - JOUR

T1 - Everywhere differentiability of absolute minimizers for locally strongly convex Hamiltonian H(p)∈C1,1(Rn) with n ≥ 3

AU - Peng, Fa

AU - Miao, Qianyun

AU - Zhou, Yuan

PY - 2021/2/1

Y1 - 2021/2/1

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

UR - https://www.scopus.com/pages/publications/85094563617

U2 - 10.1016/j.jfa.2020.108829

DO - 10.1016/j.jfa.2020.108829

M3 - Article

AN - SCOPUS:85094563617

SN - 0022-1236

VL - 280

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

IS - 3

M1 - 108829

ER -

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

摘要

访问文件

其它文件与链接

指纹

引用此

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