ELLIPTIC PROBLEMS WITH NONLINEARITIES INDEFINITE IN SIGN

Let Omega subset of R(N), N greater than or equal to 3, be a bounded o pen set with smooth boundary and lambda is an element of R. We study t he Dirichlet problem, [GRAPHICS] with 1<q<p and h, k is an element of L(infinity)(Omega) nonnegative functions. We prove existence, non-exis tence and multiplicity results depending on lambda and according to th e integrability properties of the ratio k(p-1)/h(q-1). (C) 1996 Academ ic Press, Inc.