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A new critical curve for the Lane-Emden system

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  • We study stable positive radially symmetric solutions for the Lane-Emden system $-\Delta u=v^p$ in $\mathbb{R}^N$, $-\Delta v=u^q$ in $\mathbb{R}^N$, where $p,q\geq 1$. We obtain a new critical curve that optimally describes the existence of such solutions.
    Mathematics Subject Classification: Primary: 35J47, 35J57; Secondary: 26D20.


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