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On a class of Hessian type equations on Riemannian manifolds

Analysis of PDEs 2022-02-11 v1

Abstract

In this paper, we consider a class of Hessian type equations which include the (n1)(n-1) Monge-Amp\`{e}re equation on Riemannian manifolds. The \emph{a priori} C2C^2 estimates and the existence of solutions are established.

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Cite

@article{arxiv.2202.05067,
  title  = {On a class of Hessian type equations on Riemannian manifolds},
  author = {Heming Jiao and Jinxuan Liu},
  journal= {arXiv preprint arXiv:2202.05067},
  year   = {2022}
}

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15 pages