The oblique boundary value problem for degenerate Hessian quotient type equations

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 [Formula: see text] solutions under the condition [Formula: see text].

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Publication Details

Journal
Communications in Contemporary Mathematics
Published
2026-08-20
DOI
https://doi.org/10.1142/s0219199726500707
Primary Topic
Nonlinear Partial Differential Equations
Type
article
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article

The oblique boundary value problem for degenerate Hessian quotient type equations

Yuni Xiong, Lina Zheng, Ni Xiang
Communications in Contemporary Mathematics
Nonlinear Partial Differential Equations
article

The oblique boundary value problem for degenerate Hessian quotient type equations

Yuni Xiong, Lina Zheng, Ni Xiang
article en

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 [Formula: see text] solutions under the condition [Formula: see text].

Communications in Contemporary Mathematics
Openalex Percentile: Top 5%
Nonlinear Partial Differential Equations
DOISourceOpenAlex
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The oblique boundary value problem for degenerate Hessian quotient type equations — Yuni Xiong, Lina Zheng, et al. · Communications in Contemporary Mathematics (2026) | TGRS Research Map | TGRS