A class of fully nonlinear equations arising in conformal geometry
Differential Geometry
2019-10-08 v1 Analysis of PDEs
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 Yamabe equation. Moreover, we prove local gradient and second derivative estimates for solutions to these equations and establish an existence result associated to them.
Cite
@article{arxiv.1910.02568,
title = {A class of fully nonlinear equations arising in conformal geometry},
author = {Li Chen and Xi Guo and Yan He},
journal= {arXiv preprint arXiv:1910.02568},
year = {2019}
}
Comments
29 pages