The Dirichlet Problem for mixed Hessian type equations on Riemannian manifolds

Xiaojuan Chen; Juhua Shi; Xiaocui Wu; Kang Xiao

The Dirichlet Problem for mixed Hessian type equations on Riemannian manifolds

Analysis of PDEs 2022-10-26 v2

Authors: Xiaojuan Chen , Juhua Shi , Xiaocui Wu , Kang Xiao

Abstract

In this paper, we derive $C^2$ estimates for a class of mixed Hessian type equations with Dirichlet boundary condition, and obtain the existence theorem of admissible solutions for the classical Dirichlet problem of these mixed Hessian type equations.

Keywords

dirichlet problem mixed hessian type equations riemannian manifolds c2 estimates existence theorem admissible solutions

Cite

@article{arxiv.2203.10755,
  title  = {The Dirichlet Problem for mixed Hessian type equations on Riemannian manifolds},
  author = {Xiaojuan Chen and Juhua Shi and Xiaocui Wu and Kang Xiao},
  journal= {arXiv preprint arXiv:2203.10755},
  year   = {2022}
}

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