School of Mathematical and Statistical Sciences Faculty Publications and Presentations

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We establish the existence of positive entire solutions to cooperative systems of semilinear elliptic equations involving nonlinearities with critical and supercritical growth. Consequently, we obtain existence results to several well-known model examples such as systems of the Hénon, Lane–Emden, and stationary Schrödinger types. The main technique for generating our results relies on a topological approach for the shooting method combined with nonexistence results to closely related boundary value problems.


© 2016 Informa UK LimitedOriginal published version available at

Publication Title

Communications in Partial Differential Equations



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Mathematics Commons



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