论文标题
关于一类完全非线性椭圆方程的外部差异问题
On the exterior Dirichlet problem for a class of fully nonlinear elliptic equations
论文作者
论文摘要
在本文中，我们主要建立了与Hessian特征值有关的一类完全非线性二阶椭圆方程的外部迪里奇问题解决方案的存在和独特定理，并具有处方的无限性的普遍对称的对称性渐近行为。此外，我们为Hessian方程，Hessian商方程和特殊的Lagrangian方程提供了一些新的结果，这些方程式以前已经研究过。
In this paper, we mainly establish the existence and uniqueness theorem for solutions of the exterior Dirichlet problem for a class of fully nonlinear second-order elliptic equations related to the eigenvalues of the Hessian, with prescribed generalized symmetric asymptotic behavior at infinity. Moreover, we give some new results for the Hessian equations, Hessian quotient equations and the special Lagrangian equations, which have been studied previously.
