论文标题
对于完全非线性椭圆方程的外部dirichlet问题存在的必要和足够条件
Necessary and sufficient conditions on existence of radial solutions for exterior Dirichlet problem of fully nonlinear elliptic equations
论文作者
论文摘要
在本文中,我们研究了完全非线性椭圆方程$ f(λ(d^{2} u))= 1 $的外部dirichlet问题。我们获得了在无穷大的情况下具有处方渐近行为的径向溶液存在的必要条件。
In this paper, we study the exterior Dirichlet problem for the fully nonlinear elliptic equation $f(λ(D^{2}u))=1$. We obtain the necessary and sufficient conditions of existence of radial solutions with prescribed asymptotic behavior at infinity.