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^*

^*Corresponding author for this work

Qufu Normal University
University of Science and Technology of China

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

38 Scopus citations

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.

Original language	English
Pages (from-to)	5534-5564
Number of pages	31
Journal	Journal of Differential Equations
Volume	262
Issue number	11
DOIs	https://doi.org/10.1016/j.jde.2017.02.010
State	Published - 5 Jun 2017
Externally published	Yes

Keywords

Constant rank theorem
Level sets
Minimal graph

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10.1016/j.jde.2017.02.010

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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",

month = jun,

day = "5",

doi = "10.1016/j.jde.2017.02.010",

language = "英语",

volume = "262",

pages = "5534--5564",

journal = "Journal of Differential Equations",

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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

AN - SCOPUS:85012303084

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

Abstract

Keywords

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