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arXiv · 2202.05067

On a class of Hessian type equations on Riemannian manifolds

Heming Jiao·Jinxuan Liu
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Abstract

In this paper, we consider a class of Hessian type equations which include the $(n-1)$ Monge-Amp\`{e}re equation on Riemannian manifolds. The \emph{a priori} $C^2$ estimates and the existence of solutions are established.

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Heming Jiao, Jinxuan Liu. 2022-02-10. On a class of Hessian type equations on Riemannian manifolds. https://doi.org/10.1090/proc/15508

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