关键词: k-Hessian系统, 不动点定理, k-径向解

Abstract: Based on a new modified Gustafson-Schmitt type fixed point theorem, the author give sufficient conditions for the existence of radial solutions to the Dirichlet boundary value problem of the k-Hessian equation when the nonlinear term  satisfies the appropriate growth condition only at u=0.

Key words: k-Hessian equation, fixed point theorem, k-radial solution