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arXiv 2013-01-15 0 views

Nonradial solutions for the Hénon equation in Rⁿ

Gladiali, Francesca · Grossi, Massimo · Neves, Sérgio

Original · EN

In this paper we consider the problem ll -Δu=(N+)(N-2)|x|uⁿ+2+2/N-2 & in Rⁿ u>0& in Rⁿ u∈ D¹,²(Rⁿ). where N≥3. From the characterization of the solutions of the linearized operator, we deduce the existence of nonradial solutions which bifurcate from the radial one when α is an even integer.

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