ON A DEFOCUSING QUASILINEAR SCHR O spacing diaeresis DINGER EQUATION WITH SINGULAR TERM

We consider a class of modified quasilinear Schro center dot dinger equations k -Delta u + 2 u Delta u2 + V (x)u = lambda a(x)u-alpha + b(x)u beta in RN, where N > 3, V is a suitable non-negative continuous potential; a, b are bounded mensurable functions, 0 < alpha < 1 < beta <= 2* - 1 and k, lambda > 0 are two parameters. We establish global existence and local multiplicity results of positive solutions in H'(RN) boolean AND L infinity(RN) for the equation with appropriate classes of parameters alpha, beta and coefficients a(x), b(x).