The oblique boundary value problem for degenerate Hessian quotient type equations

2024/10/30 by Xiang Ni, Xiang, Ni, Lina Zheng +2
Mathematics · #Advanced Mathematical Physics Problems #Algebraic and Geometric Analysis #Analysis of PDEs (math.AP) #FOS: Mathematics #Geometric Analysis and Curvature Flows

paper · pdf · doi:10.48550/arxiv.2410.22856

openalex publication_date 2024/10/30 · openalex created_date 2024/11/14 · openalex updated_date 2026/07/28

Abstract

In this paper, we investigate the oblique boundary value problem for degenerate Hessian quotient type equations in a smooth bounded domain. Without imposing any geometric restrictions on the domain, we establish the a priori estimates and derive the existence and uniqueness of admissible C^1,1 solutions under the condition f^(1)/(k-l)∈ C^1,1(Ω×ℝ).

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