Abstract
Abstract We study existence and asymptotic behavior of positive solutions for quasilinear elliptic equations of the form -εpΔpv + V(x)|v|p-2v = f(v) in ℝN, 1 < p < N, as ε → 0. The potential V : ℝN → ℝ has a positive infimum, inf∂ΩV > infΩ V for some bounded domain Ω in ℝN and f is a subcritical nonlinearity without some growth conditions such as Ambrosetti-Rabinowitz.
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