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arXiv 2013-02-19 0 views

A new critical curve for the Lane-Emden system

Chen, Wenjing · Dupaigne, Louis · Ghergu, Marius

Original · EN

We study stable positive radially symmetric solutions for the Lane-Emden system -Δu=vᵖ in ⁿ, -Δv=uq in ⁿ, where p,q≥ 1. We obtain a new critical curve that optimally describes the existence of such solutions.

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