A comparison result for perturbed radial p-Laplacians

Abstract

Consider the radially symmetric p-Laplacian for p2 under zero Dirichlet boundary conditions. The main result of the present paper is that under appropriate conditions a solution of a perturbed (radially symmetric) p-Laplacian can be compared with the solution of the unperturbed one. As a consequence one obtains a sign preserving result for a system of p-Laplacians which are coupled in a nonquasimonotone way.

Author Keywords: Author Keywords: p-Laplacian system; Positivity; Noncooperative coupling