# Liouville theorems for stable at infinity solutions of Lane–Emden system

Abstract : We consider the Lane-Emden system $-\Delta u = v^p$, $-\Delta v= u^\theta$ in $\mathbb{R}^N$, and we prove the nonexistence of smooth positive solutions which are stable outside a compact set, for any $p, \theta > 0$ under the Sobolev hyperbola.
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Journal articles

Cited literature [23 references]

https://hal.univ-lorraine.fr/hal-02894445
Contributor : Dong Ye <>
Submitted on : Wednesday, July 8, 2020 - 10:54:32 PM
Last modification on : Monday, July 20, 2020 - 12:09:40 PM
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Liouville_MY_revised_Nov18.pdf
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### Citation

Foued Mtiri, Dong Ye. Liouville theorems for stable at infinity solutions of Lane–Emden system. Nonlinearity, IOP Publishing, 2019, 32 (3), pp.910-926. ⟨10.1088/1361-6544/aaf078⟩. ⟨hal-02894445⟩

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