论文标题

特殊Lagrangian方程解决方案的无穷大的渐近扩张

Asymptotic expansion at infinity of solutions of special Lagrangian equations

论文作者

Liu, Zixiao, Bao, Jiguang

论文摘要

我们在外部领域的完全非线性椭圆方程的溶液中获得了无限的定量高阶扩展,完善对Monge-Ampère方程,特殊的Lagrangian方程和其他椭圆方程的渐近行为的研究,并提供外部最大值(或Minimal)的精确间隙。

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.

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