Existence and nonexistence of entire k-convex radial solutions to Hessian type system

Abstract

Abstract In this paper, a Hessian type system is studied. After converting the existence of an entire solution to the existence of a fixed point of a continuous mapping, the existence of entire k-convex radial solutions is established by the monotone iterative method. Moreover, a nonexistence result is also obtained.

Keywords

• k-convex radial solution
• Existence
• Nonexistence
• Hessian type system