Abstract
We study the isolated singularities of functions satisfying(E)(−Δ)sv±|v|p−1v=0inΩ∖{0},v=0inRN∖Ω, where 0<s<1, p>1 and Ω is a bounded domain containing the origin. We use the Caffarelli-Silvestre extension to R+×RN. We emphasize the obtention of a priori estimates and analyse the set of self-similar solutions via energy methods to characterize the singularities.
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