Zhejiang Daxue xuebao. Lixue ban (Nov 2019)

The Pogorelov interior C2 estimate of σ2 Hessian equations and its application(σ2Hessian 方程的Pogorelov 型C2内估计及应用)

MIAOZhengwu(缪正武)

Affiliations

MIAOZhengwu(缪正武): ORCiD; College of Science, Zhejiang University of Technology, Hangzhou 310023, China(浙江工业大学理学院，浙江杭州 310023)

DOI: https://doi.org/10.3785/j.issn.1008-9497.2019.06.007
Journal volume & issue: Vol. 46, no. 6
pp. 680 – 685

Abstract

提出利用拉格朗日乘子法重新证明σ2 算子的最优凹性，并定义了一个凸锥。利用σ2 算子的最优凹性，给出了σ2 Hessian方程Pogorelov 型C2 内估计，进而证明了σ2 （D2u （x）） = 1，x ∈ Rn 的满足二次多项式增长条件的 - 凸整解为二次多项式。

Published in Zhejiang Daxue xuebao. Lixue ban

ISSN: 1008-9497 (Print)
Publisher: Zhejiang University Press
Country of publisher: China
LCC subjects: Science: Mathematics: Instruments and machines: Electronic computers. Computer science; Science: Physics
Website: https://www.zjujournals.com/sci/EN/1008-9497/home.shtml

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