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The Dirichlet problem for Hessian quotient type curvature...
[Submitted on 28 May 2025 (v1), last revised 18 Jun 2026 (this v · 2026-06-19 · via math updates on arXiv.org

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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.

Submission history

From: Mengru Guo [view email]
[v1] Wed, 28 May 2025 13:24:03 UTC (21 KB)
[v2] Wed, 21 Jan 2026 09:18:46 UTC (22 KB)
[v3] Thu, 18 Jun 2026 13:56:46 UTC (26 KB)