Convex solutions of systems arising from Monge-Ampere equations

Haiyan Wang, Arizona State University, Phoenix, AZ, U.S.A.

E. J. Qualitative Theory of Diff. Equ., Spec. Ed. I, 2009 No. 26., pp. 1-8.

Abstract: We establish two criteria for the existence of convex solutions to a boundary value problem for weakly coupled systems arising from the Monge-Amp\'ere equations. We shall use fixed point theorems in a cone.

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