广义平均曲率方程组的径向对称解

Radially Symmetric Solutions of Generalized Mean Curvature Equations

在单位球内考虑广义平均曲率方程组具有Dirichlet边值条件的径向古典解,运用摄动技巧、拓扑方法及比较原理,在一个适当的条件下,证明了广义平均曲率方程组径向对称解的存在性.

The existence of the radially classical solutions with Dirichlet boundary value in unit ball was investigated. Based on perturbation technique, topological method and comparability theorem, the existence of the radially symmetric solutions for the generalized mean curvature equations with proper presupposition was established.