×

zbMATH — the first resource for mathematics

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 (should also be assigned at least one other classification number in Section 47-XX)
PDF BibTeX XML Cite
Full Text: Link