Work

The oblique boundary value problem for degenerate Hessian quotient type equations

Year: 2026

Type: article

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].

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199726500707

Authors: Ni Xiang, Yuni Xiong, Lina Zheng

Institution: Hubei University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: National Natural Science Foundation of China

Award: 流形上几类完全非线性偏微分方程Neumann问题解的正则性研究