On the exterior Dirichlet problem for special Lagrangian equations

2017/09/14 by Li, Zhisu · 2 citations
#35D40 #35J15 #35J25 #35J60 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1709.04722

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.

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

Related

• On the exterior Dirichlet problem for Hessian equations
• On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations
• On the exterior Dirichlet problem for Hessian quotient equations
• Asymptotic behavior at infinity of solutions of Lagrangian mean curvature equations
• A Bernstein problem for special Lagrangian equations in exterior domains