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The global curvature estimate for the n-2 Hessian equation.

Authors :
Ren, Changyu
Wang, Zhizhang
Source :
Calculus of Variations & Partial Differential Equations. Dec2023, Vol. 62 Issue 9, p1-50. 50p.
Publication Year :
2023

Abstract

The curvature estimates for k curvature equations with general right hand sides is a longstanding problem. In this paper, we give a proof of curvature estimates for n < 2 k base on a conjecture of a key inequality. At last, we proved the conjecture is true for k = n - 2 . [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
09442669
Volume :
62
Issue :
9
Database :
Academic Search Index
Journal :
Calculus of Variations & Partial Differential Equations
Publication Type :
Academic Journal
Accession number :
173558893
Full Text :
https://doi.org/10.1007/s00526-023-02570-y