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arXiv · 2505.22339

The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space

Mengru Guo·Yang Jiao
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Abstract

In this paper, we consider the Dirichlet problem for a class of prescribed Hessian quotient type curvature equations in Minkowski space. For non-convex domains, we prove the existence theorem by establishing the \emph{a priori} estimates without subsolution assumption and Serrin-type condition.

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Mengru Guo, Yang Jiao. 2025-05-28. The Dirichlet problem for Hessian quotient type curvature equations in Minkowski space. https://arxiv.org/abs/2505.22339

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