The Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds

Xiaojuan Chen; Qiang Tu; Ni Xiang

The Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds

Analysis of PDEs 2021-05-20 v1

Authors: Xiaojuan Chen , Qiang Tu , Ni Xiang

Abstract

In this paper, we consider the Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds. Under the assumption of an admissible subsolution, we solve the existence and the uniquness for the Dirichlet problem in a domain without any geometric restrictions on the boundary, based on the a priori estimates for the solutions to the Hessian quotient type equations.

Keywords

dirichlet problem hessian quotient equations riemannian manifolds admissible subsolution a priori estimates existence and uniqueness

Cite

@article{arxiv.2105.09069,
  title  = {The Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds},
  author = {Xiaojuan Chen and Qiang Tu and Ni Xiang},
  journal= {arXiv preprint arXiv:2105.09069},
  year   = {2021}
}

Comments

26 pages

Related papers

View all related →