Convexity of level sets of minimal graph on space form with nonnegative curvature

Peihe Wang; Dekai Zhang

doi:10.1016/j.jde.2017.02.010

Convexity of level sets of minimal graph on space form with nonnegative curvature

Peihe Wang
, Dekai Zhang^*

^*此作品的通讯作者

Qufu Normal University
University of Science and Technology of China

科研成果: 期刊稿件 › 文章 › 同行评审

38 引用（Scopus）

摘要

For the minimal graph defined on a convex ring in the space form with nonnegative curvature, we obtain the regularity and the strict convexity about its level sets by the continuity method.

源语言	英语
页（从-至）	5534-5564
页数	31
期刊	Journal of Differential Equations
卷	262
期	11
DOI	https://doi.org/10.1016/j.jde.2017.02.010
出版状态	已出版 - 5 6月 2017
已对外发布	是

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title = "Convexity of level sets of minimal graph on space form with nonnegative curvature",

abstract = "For the minimal graph defined on a convex ring in the space form with nonnegative curvature, we obtain the regularity and the strict convexity about its level sets by the continuity method.",

keywords = "Constant rank theorem, Level sets, Minimal graph",

author = "Peihe Wang and Dekai Zhang",

note = "Publisher Copyright: {\textcopyright} 2017 Elsevier Inc.",

year = "2017",

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T1 - Convexity of level sets of minimal graph on space form with nonnegative curvature

AU - Wang, Peihe

AU - Zhang, Dekai

PY - 2017/6/5

Y1 - 2017/6/5

N2 - For the minimal graph defined on a convex ring in the space form with nonnegative curvature, we obtain the regularity and the strict convexity about its level sets by the continuity method.

AB - For the minimal graph defined on a convex ring in the space form with nonnegative curvature, we obtain the regularity and the strict convexity about its level sets by the continuity method.

KW - Constant rank theorem

KW - Level sets

KW - Minimal graph

UR - https://www.scopus.com/pages/publications/85012303084

U2 - 10.1016/j.jde.2017.02.010

DO - 10.1016/j.jde.2017.02.010

M3 - 文章

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SN - 0022-0396

VL - 262

SP - 5534

EP - 5564

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 11

ER -

Convexity of level sets of minimal graph on space form with nonnegative curvature

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