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

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:262

Article

Wang, Peihe¹  Zhang, Dekai² 

[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China

[2] Univ Sci & Technol China, Sch Math Sci, Hefei 230026, Anhui, Peoples R China

关键词: Level sets;    Constant rank theorem;    Minimal graph;   

DOI  :  10.1016/j.jde.2017.02.010

来源: Elsevier

【 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. (C) 2017 Elsevier Inc. All rights reserved.

【 授权许可】

Free