Abstract
We are concerned with the following fractional Laplacian equation (−Δ)su=a(x)|u(x)|q−2u(x)+λb(x)|u(x)|p−2u(x) in (−1,1),u>0 in (−1,1),u=0 in ℝ∖(−1,1), where s∈(0,1), λ>0. Using variational methods, we show existence and multiplicity of positive solutions.
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