Symmetry Results for classical solutions of Monge-Ampere systems on a bounded planar domain

2009/10/26 by Li Ma, Ma, Li, Baiyu Liu +1
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Partial Differential Equations #math.AP #math.DG #msc:35J60

paper · pdf · doi:10.48550/arxiv.0910.4790

9 pages

arxiv created 2009/10/26 · arxiv updated 2009/12/01

Abstract

In this paper, by the method of moving planes, we establish the monotonicity and symmetry properties of convex solutions for Monge-Ampere systems on bounded smooth planar domains.

Related

• Symmetry Results for classical solutions of Monge-Ampere system in the plane
• Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Unbounded Domains
• Symmetry of Convex Solutions to Fully Nonlinear Elliptic Systems: Bounded Domains
• Convex Solutions of systems of Monge-Ampère equations
• Uniqueness for a system of Monge-Ampère equations