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

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Jixian Cui

AbstractIn 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.

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