Article ID Journal Published Year Pages File Type
840357 Nonlinear Analysis: Theory, Methods & Applications 2012 13 Pages PDF
Abstract

In this paper, we prove that if QQ is a positive continuous function in RNRN and satisfies the suitable conditions, then for sufficiently small λ>0λ>0,−Δu+u=Q(z)up−1−Δu+u=Q(z)up−1 with the boundary condition u(x,zN)=λg(x)u(x,zN)=λg(x) admits at least three positive solutions in R+N.

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