A new critical curve for the Lane-Emden system

preprint2013arXivOpen access

Abstract

We study stable positive radially symmetric solutions for the Lane-Emden system −Δu=vp-Δu=v^p in RN\R^N, −Δv=uq-Δv=u^q in RN\R^N, where p,q≥1p,q\geq 1. We obtain a new critical curve that optimally describes the existence of such solutions.

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