ANTISYMMETRIC SOLUTIONS FOR A CLASS GENERALIZED QUASILINEAR SCHRODINGER EQUATIONS

In this paper we consider the existence of antisymmetric solutions for the generalized quasilinear Schrodinger equation in H-1(R-N): -div(theta(u)del u) + 1/2 theta(u)vertical bar del u vertical bar(2) + V(x)u = f(u) in R-N, where N >= 3, V(x) is a positive continuous potential, f(u) is of subcritical growth and theta : R ->[+infinity) is a even C-1- function satisfying some suitable hypotheses. By considering a minimizing problem restricted on a partial Nehan manifold, we prove the existence of antisymmetric solutions via deformation lemma.