On positive singular solutions for a class of nonhomogeneous p-Laplacian-like equations

Abstract

We study the behavior of positive radial solutions to

-div(A(\del u\)del u) = f(u)

near an isolated singularity at x = 0. We give an a priori estimate of the order of such singularity without imposing any growth 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.