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arXiv · 2105.09069

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

Xiaojuan Chen·Qiang Tu·Ni Xiang
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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.

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Xiaojuan Chen, Qiang Tu, Ni Xiang. 2021-05-19. The Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds. https://arxiv.org/abs/2105.09069

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