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We study existence of positive solutions for a 3 x 3 nonlinear nonlocal elliptic system previously
studied by J.I. Diaz and P. Za. We consider different versions of the mathematical model in theis paper.
We prove first existence of positive solutions for the full system both in the nonlocal version
and for a simplified local one by using Schauder fixed point Then we prove
existence for a simplified 2 x 2 local cooperative system by using sub and
supersolutions. Finally, a reduced model for one single equation is considered
giving conditions for existence and uniqueness, or multiplicity, depending on some
parameters. This is joint work with J.I.Diaz. |
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