给定曲率的$p$-凸超曲面的曲率估计

IF 1.3 2区数学 Q1 MATHEMATICS Revista Matematica Iberoamericana Pub Date : 2021-07-28 DOI:10.4171/rmi/1348

Weisong Dong

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引用次数: 1

摘要

．本文建立了rn +1中p -凸超曲面在p≥n2条件下的曲率估计。得到了给定曲率的星形超曲面的存在性。我们还证明了相应方程的Dirichlet问题解的一类内部c2估计。数学学科分类(2010):53C42;53 c21;35 j60。

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Curvature estimates for $p$-convex hypersurfaces of prescribed curvature

. In this paper, we establish curvature estimates for p -convex hypersurfaces in R n +1 of prescribed curvature with p ≥ n 2 . The existence of a star-shaped hypersurface of prescribed curvature is obtained. We also prove a type of interior C 2 estimates for solutions to the Dirichlet problem of the corresponding equation. Mathematical Subject Classiﬁcation (2010): 53C42; 53C21; 35J60.

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来源期刊

Revista Matematica Iberoamericana 数学-数学

CiteScore

2.40

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Revista Matemática Iberoamericana publishes original research articles on all areas of mathematics. Its distinguished Editorial Board selects papers according to the highest standards. Founded in 1985, Revista is a scientific journal of Real Sociedad Matemática Española.

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