Nonnegative Solutions of Quasilinear Elliptic Problems with Nonnegative Coefficients

The existence of nonnegative nontrivial solutions to the problem Ny1 y0 q y9qlq x.f y.s0 x y9 0.sy 1.s0 is discussed when the function q x. is allowed to be zero on a set of positive measure and f:w0,`.ªw0, `. is continuous, strictly increasing, and allowing for the case f 0.s0. A description of the set of l’s for which there is a solution is obtained based on the properties of f.