The Dirichlet problem of generalized special Lagrangian type equations and curvature version
Year: 2025
Type: article
Abstract: This article focuses on two kinds of generalized special Lagrangian type equations. We investigate the Dirichlet problem for these equations with supercritical phase and critical phase in $\mathbb {R}^n$ , deriving the a priori estimates and establishing the existence under the assumption of a subsolution. Furthermore, we also consider the corresponding special Lagrangian curvature type equations with supercritical phase and critical phase.
Source: Canadian Journal of Mathematics
Authors: Ni Xiang, Yuni Xiong
Institution: Hubei University
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4409175355