A Minimal Value Problem and the Prescribed σ₂ Curvature Measure Problem

2011/04/21 by Chuanqiang Chen, Chen, Chuanqiang
Mathematics · #Advanced Harmonic Analysis Research #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Numerical methods in inverse problems #math.AP

paper · pdf · doi:10.48550/arxiv.1104.4283

12 pages

openalex publication_date 2011/04/21 · arxiv created 2011/04/23 · arxiv updated 2011/04/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we consider a minimal value problem and obtain an algebraic inequality. As an application, we prove the C² a priori estimate for a class of prescribed σ₂ curvature measure equations, which generalizes the results of the σ₂ case in Guan-Li-Li\citeGLL11 by a different method.

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