Article ID Journal Published Year Pages File Type
842935 Nonlinear Analysis: Theory, Methods & Applications 2009 8 Pages PDF
Abstract

We have established multiplicity of nontrivial solutions for the quasilinear elliptic problem −Δpu=h(x)uα−1+g(x,u)in Ω−Δpu=h(x)uα−1+g(x,u)in Ωu≥0in Ω,u≥0in Ω,u=0on ∂Ω,u=0on ∂Ω, where Ω⊂RNΩ⊂RN is a smooth bounded domain, p>1p>1, 1≤α

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