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arXiv · 2207.06049

Liouville-type theorems for the Lane-Emden equation in the half-space and cones

Louis Dupaigne·Alberto Farina·Troy Petitt
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Abstract

We prove that 0 the only classical solution of the Lane-Emden equation in the half-space which is stable outside a compact set. We also consider weak solutions and the case of general cones.

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Louis Dupaigne, Alberto Farina, Troy Petitt. 2022-09-05. Liouville-type theorems for the Lane-Emden equation in the half-space and cones. https://arxiv.org/abs/2207.06049

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