Existence of positive solutions to semilinear elliptic systems with supercritical growth

Authors

Congming Li
John Villavert, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

7-2016

Abstract

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.

Comments

© 2016 Informa UK LimitedOriginal published version available at https://doi.org/10.1080/03605302.2016.1190376

Recommended Citation

Li, Congming, and John Villavert. 2016. “Existence of Positive Solutions to Semilinear Elliptic Systems with Supercritical Growth.” Communications in Partial Differential Equations 41 (7): 1029–39. https://doi.org/10.1080/03605302.2016.1190376.

Publication Title

Communications in Partial Differential Equations

DOI

10.1080/03605302.2016.1190376