Abstract
In this work we study multiplicity and concentration of nontrivial solutions for the following class of quasilinear problems:
-div(a(|▽u|p)|▽u|p-2▽u) + V(εx)b(|u|p)|u|p-2u=f(u),
where ε is a positive parameter, a, b, f : ℝ → ℝ are C1 functions and V : ℝN →ℝ is a continuous function.


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