Nonnegative Solutions of Quasilinear Elliptic Problems with Nonnegative Coefficients

AbstractThe existence of nonnegative nontrivial solutions to the problemy″+N−1xy′+λq(x)f(y)=0y′(0)=y(1)=0is discussed when the functionq(x) is allowed to be zero on a set of positive measure andf:[0,∞)→[0,∞) is continuous, strictly increasing, and allowing for the casef(0)=0. A description of the set of λ's for which there is a solution is obtained based on the properties off