Journal of the
Korean Mathematical Society JKMS

We prove the existence of $2N-1$ distinct ordered positive solutions of a class of semilinear elliptic Dirichlet boundary value problems on $\bold R^n$ when the forcing term has $N$ distinct positive stable zeros and the coefficient function decaying to the zero at infinity.

Keywords: existence, multiplicity, positive solution, semilinear elliptic problem, singular boundary value problem, upper and lower solution method, three solution theorem, Schauder fixed point

MSC numbers: 35J25, 34B15