A new critical curve for the Lane-Emden system

Published 19 Feb 2013 in math.AP | (1302.4685v4)

Abstract: We study stable positive radially symmetric solutions for the Lane-Emden system $-\Delta u=v^p$ in $\R^N$, $-\Delta v=u^q$ in $\R^N$, where $p,q\geq 1$. We obtain a new critical curve that optimally describes the existence of such solutions.

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