On the exterior Dirichlet problem for special Lagrangian equations

2017/09/14 by Zhisu Li, Li, Zhisu · 2 citations
Computer Science · Mathematics · #35D40 #35J15 #35J25 #35J60 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Applied mathematics #Boundary value problem #Differential Equations and Boundary Problems #Dirichlet distribution #Dirichlet problem #Dirichlet's energy #Dirichlet's principle #FOS: Mathematics #Gauge symmetry #Infinity #Inverse problem for Lagrangian mechanics #Lagrangian #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Partial Differential Equations #Uniqueness #Uniqueness theorem for Poisson's equation #math.AP #msc:35D40 #msc:35J15 #msc:35J25 #msc:35J60

paper · pdf · doi:10.48550/arxiv.1709.04722

published in arXiv (Cornell University) (Cornell University) · 52 pages, 2 figures

arxiv created 2017/09/14 · openalex publication_date 2017/09/14 · arxiv updated 2017/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In this paper, we establish the existence and uniqueness theorem of the exterior Dirichlet problem for special Lagrangian equations with prescribed asymptotic behavior at infinity.

Citations

• User’s guide to viscosity solutions of second order partial differential equations
• On uniqueness and existence of viscosity solutions of fully nonlinear second‐order elliptic PDE's
• Calibrated geometries

Cited by

• Asymptotic behavior at infinity and existence of solutions to the Lagrangian mean curvature flow in \mathbb Rⁿ⁺¹_-
• Exterior Dirichlet problem for Hessian equations on a non-convex ring

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