关键词: p-Monge-Ampère方程, 不动点指数定理, 径向解, 存在性

Abstract: We considered the existence of radial solutions to Dirichlet problems for a class of p-Monge-Ampère systems with multiparameter. By utilizing the fixed point index theorem on cones, we prove the existence results of radial solutions when the parameters are large enough and nonlinear terms satisfy  appropriate growth conditions.

Key words: p-Monge-Ampère equation, fixed point index theorem, radial solution, existence