Asymptotic expansion at infinity of solutions of special Lagrangian equations

Abstract

We obtain a quantitative high order expansion at infinity of solutions for a family of fully nonlinear elliptic equations on exterior domain, refine the study of the asymptotic behavior of the Monge-Ampère equation, the special Lagrangian equation and other elliptic equations, and give the precise gap between exterior maximal (or minimal) gradient graph and the entire case.

29 pages, 6 figures

References in corpus (4)

• Isolated singularities of solutions to the Yamabe equation in dimension $6$
• A Remark on Monge-Ampère equation over exterior domains
• Asymptotic behavior of positive solutions of some nonlinear elliptic equations on cylinders
• On the entire self-shrinking solutions to Lagrangian mean curvature flow II

Cited by in corpus (3)

• Asymptotic expansion and optimal symmetry of minimal gradient graph equations in dimension 2
• Symmetry of solutions of minimal gradient graph equations on punctured space
• Asymptotic expansion at infinity of solutions of Monge-Ampère type equations