Mathematically prove that :

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This work is concerned with existence, multiplicity and concentration of positive solutions for the following class of quasilinear problems
−ΔΦu+V(εx)ϕ(|u|)u=f(u)in RN (N≥2),
where Φ(t)=∫|t|0ϕ(s)sds is a N-function, ΔΦ is the Φ-Laplacian operator, ε is a positive parameter, V:RN→R is a continuous function and f:R→R is a C1-function.
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