Abstract
We study the existence of positive and negative weak solutions for the equation −¢pu + V (x)|u| p−2 u = ¸f(u) in R N , where −¢pu = div(|∇u| p−2 ∇u) is the p-Laplacian operator, 1 < p < N, ¸ is a positive real parameter and the potential V : R N → R is bounded from below for a positive constant and ”large” at infinity. It is assumed that the nonlinearity f : R → R is continuous and just superlinear in a neighborhood of the origin.
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