ON POSITIVE SINGULAR SOLUTIONS FOR A CLASS OF NONHOMOGENEOUS P-LAPLACIAN-LIKE EQUATIONS

We study the behavior of positive radial solutions to -div(A(\del u\)d el u) = f(u) near an isolated singularity at x = 0. We give an a prior i estimate of the order of such singularity without imposing any growt h restriction on A orf, and classify the solutions under an asymptotic Serrin type condition for strongly nonhomogeneous (possibly unbounded ) functions A. We also prove the existence of such solutions. (C) 1998 Academic Press.