A comparison result for perturbed radial p-Laplacians

Journal article (2004)

Authors

R Manasevich Analysis - EEMCS
G.H. Sweers Analysis - EEMCS
Research Group
Analysis (EEMCS) (TU Delft)
More Info
expand_more

Published Date

2004

Language

Undefined/Unknown

Reuse Rights

Other than for strictly personal use, it is not permitted to download, forward or distribute the text or part of it, without the consent of the author(s) and/or copyright holder(s), unless the work is under an open content license such as Creative Commons.

Faculty

Electrical Engineering, Mathematics and Computer Science

Department

Delft Institute of Applied Mathematics

Research Group

Analysis

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