Multiplicidade e concentração de soluções positivas para uma equação elíptica quasilinear

Abstract

In this work, we study results on existence and concentration of positive solutions for a Schrödinger equation in R N involving the p-laplacian operator with 2 = p < N, a subcritical nonlinearity, a positive parameter ? and a potencial a(x) satisfying some hypotheses. Such problem was rst studied by Bartsch and Wang [5] in the case of laplacian operator (p = 2). We present versions of the results of [5] in the case of the p-laplacian, which were demonstrated by Furtado [17, 18].