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Multiplicity Results for the Supercritical Hénon Equation
Abstract We study the Dirichlet problem for the Hénon equation ¡Δu = |x| α u p-1 in the unit ball B ⊂ R N . For N ≥ 4 and α large we prove the existence of positive nonradial solutions for a range of p's including supercritical values.