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arXiv · 1910.02568

A class of fully nonlinear equations arising in conformal geometry

Li Chen·Xi Guo·Yan He
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Abstract

In this paper, we consider a class of fully nonlinear equations on closed smooth Riemannian manifolds, which can be viewed as an extension of $\sigma_k$ Yamabe equation. Moreover, we prove local gradient and second derivative estimates for solutions to these equations and establish an existence result associated to them.

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Li Chen, Xi Guo, Yan He. 2019-10-07. A class of fully nonlinear equations arising in conformal geometry. https://arxiv.org/abs/1910.02568

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