Optimal concavity of some Hessian operators and the prescribed σ_2 curvature measure problem 被引量：4

Optimal concavity of some Hessian operators and the prescribed σ_2 curvature measure problem

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摘要 In this paper, we consider a minimal value problem and obtain an algebraic inequality. As an application, we obtain the optimal concavity of some Hessian operators and then establish the C2 a priori estimate for a class of prescribed σ2 curvature measure equations. In this paper, we consider a minimal value problem and obtain an algebraic inequality. As an application, we obtain the optimal concavity of some Hessian operators and then establish the C2 a priori estimate for a class of prescribed σ2 curvature measure equations.

作者 CHEN ChuanQiang

机构地区 School of Mathematical Sciences

出处《Science China Mathematics》 SCIE 2013年第3期639-651,共13页 中国科学：数学（英文版）

关键词 Hessian operator curvature measures k-convex k-admissible solution 运营商黑森州测量问题曲率优化极小值问题代数不等式应用程序

分类号 O174.14 [理学—数学]

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参考文献11

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同被引文献8

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引证文献4

1ZHONG Xu,WANG Jun,JIAO XiaoXiang.Totally real conformal minimal tori in the hyperquadric Q_2[J].Science China Mathematics,2013,56(10):2015-2023. 被引量：3
2侯元元,韩菲.二维下蒙日-安培方程解的内部C^2估计[J].科技风,2017(3):21-22.
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二级引证文献3

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Optimal concavity of some Hessian operators and the prescribed σ_2 curvature measure problem 被引量：4

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