Convex Solutions of systems of Monge-Ampère equations
arXiv:1007.3013
Abstract
The existence and multiplicity and nonexistence of nontrivial radial convex solutions of systems of Monge-Ampère equations are established with superlinearity or sublinearity assumptions for an appropriately chosen parameter. The proof of the results is based on a fixed point theorem in a cone.
In version 2, 1/n is corrected as 1/N in Remark 1.4. All other remains the same