Existence of multiple positive solutions for -Δu-μ(u/|x|2)=u2*-1+σf(x)

In this paper, we consider the semilinear elliptic problem -Deltau - mu u/\x\(2) = u(2*-) (1) + sigmaf(x) u > 0, u is an element of H-0(1)(Omega) where Omega subset of R-N (N greater than or equal to 3) is a bounded smooth domain such that 0 is an element of Omega, sigma > 0 is a real parameter, mu < mu = (N-2)(2)/4 and f(x) is some given function in L-infinity(Omega) such that f(x) greater than or equal to 0, f(x) not equivalent to 0 in Omega. Some existence results of multiple solutions have been obtained by implicit function theorem, monotone iteration method and Mountain Pass Lemma. Copyright (C) 2002 John Wiley Sons, Ltd.