Abstract

In this paper, using nonsmooth critical point theory, we study the existence of multiple solutions of the following class of problems: {−div(|x|−ap|∇u|p−2∇u)∈λ|x|−(a+1)p+c[f−(u),f+(u)],x∈Ω,u=0,x∈∂Ω, where a,c,λandf−,f+ satisfy certain conditions.

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