Existence and multiplicity of solutions for a class of quasilinear elliptic field equation on ℝN.

In this paper, we establish existence and multiplicity of solutions for the following class of quasilinear field equation    −Δu + V(x)u − Δpu + W′(u) = 0,  in  ℝN,    (P) where u = (u1, u2, ... , uN+1), p > N ≥ 2, W is a singular function and V is a positive continuous function. [ABSTRACT FROM AUTHOR]