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An Obata-type formula and the Liouville-type theorem for a class of K-Hessian equations on the sphere.

Authors :
Shi, Shujun
Wang, Peihe
Wu, Tian
Zhu, Hua
Source :
Proceedings of the American Mathematical Society. Aug2024, Vol. 152 Issue 8, p3537-3550. 14p.
Publication Year :
2024

Abstract

In this paper, we study a class of k-Hessian equations, we can deduce an Obata-type formula and a Liouville-type theorem by integration by parts. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*EQUATIONS
*LIOUVILLE'S theorem

Details

Language :
English
ISSN :
00029939
Volume :
152
Issue :
8
Database :
Academic Search Index
Journal :
Proceedings of the American Mathematical Society
Publication Type :
Academic Journal
Accession number :
178145119
Full Text :
https://doi.org/10.1090/proc/16857