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arXiv · 1302.4685

A new critical curve for the Lane-Emden system

Wenjing Chen·Louis Dupaigne·Marius Ghergu
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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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Wenjing Chen, Louis Dupaigne, Marius Ghergu. 2013-02-19. A new critical curve for the Lane-Emden system. https://arxiv.org/abs/1302.4685

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