Abstract

Letp=2N/(N −2),N ≥ 3 be the limiting Sobolev exponent and Ω e ℝ N a bounded smooth domain. We show that for ħ eH −1(Ω),f satisfies some conditions then−Δu=c 1 u p−1 +f(x,u) + ħ admits at least two positive solutions.

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