Existence and multiplicity of positive solutions for singular Monge-Ampère system. (English) Zbl 1373.34044
Summary: Using the fixed point theorem in a cone, the existence and multiplicity of radial convex solutions of singular system of Monge-Ampère equations are established.
MSC:
34B16 | Singular nonlinear boundary value problems for ordinary differential equations |
34B08 | Parameter dependent boundary value problems for ordinary differential equations |
34B18 | Positive solutions to nonlinear boundary value problems for ordinary differential equations |
35B07 | Axially symmetric solutions to PDEs |
35J96 | Monge-Ampère equations |
47E05 | General theory of ordinary differential operators |