论文标题
Hessian商方程的外部Dirichlet问题
The exterior Dirichlet problems of Hessian quotient equations
论文作者
论文摘要
在本文中，我们研究了外部领域中黑森州商方程的差异问题。通过估计溶液的特征值，获得了径向溶液存在的必要条件。使用ODE的溶液，构建了粘度下树脂和超溶液，然后由Perron的方法确定了外部问题的粘度解决方案。
In this paper, we study the Dirichlet problem of Hessian quotient equations in exterior domains. By estimating the eigenvalues of the solution, the necessary and sufficient conditions on existence of radial solutions are obtained. Applying the solutions of ODE, the viscosity subsolutions and supersolutions are constructed and then the existence of viscosity solutions for exterior problems is established by the Perron's method.
