English

Second order estimates for a class of complex Hessian equations on Hermitian manifolds

Analysis of PDEs 2021-05-25 v1 Complex Variables Differential Geometry

Abstract

In this paper, we derive an \emph{a priori} second order estimate for solutions which are in Γk+1\Gamma_{k+1} cone to a class of complex Hessian equations with both sides of the equation depending on the gradient on compact Hermitian manifolds.

Keywords

Cite

@article{arxiv.2105.10718,
  title  = {Second order estimates for a class of complex Hessian equations on Hermitian manifolds},
  author = {Weisong Dong},
  journal= {arXiv preprint arXiv:2105.10718},
  year   = {2021}
}

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21pages