UNBOUNDED SOLUTIONS FOR SCHRODINGER QUASILINEAR ELLIPTIC PROBLEMS WITH PERTURBATION BY A POSITIVE NON-SQUARE DIFFUSION TERM

In this article, we present a version of Keller-Osserman condition for the Schrodinger quasilinear elliptic problem -Delta u + k/2u Delta u(2) = a(x)g(u) in R-N, u > 0 in R-N, lim(vertical bar x vertical bar > infinity) u(x) = infinity, where a : R-N -> [0, infinity) and g : [0, infinity) -> [0, infinity) are suitable continuous functions, N >= 1, and k > 0 is a parameter. By combining a dual approach and this version of Keller-Osserman condition, we show the existence and multiplicity of solutions.