摘要

In this paper, we study the following quasilinear Schrodinger equations of the form @@@ -Delta u + V(x)u - Delta(vertical bar u vertical bar(2 alpha))vertical bar u vertical bar(2 alpha-2)u=g(x, u), x epsilon R-N, @@@ where 1 >= alpha > 1/2, V epsilon C(R-N,R), g epsilon C(R-N, R,R). Using some special techniques, the existence of positive solutions, negative solutions and sequence of high energy solutions are studied.