A comparison result for perturbed radial p-Laplacians

R Manasevich; GH Sweers

A comparison result for perturbed radial p-Laplacians

R Manasevich, GH Sweers

Analysis

Research output: Contribution to journal › Article › Scientific › peer-review

1 Citation (Scopus)

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

Original language	Undefined/Unknown
Pages (from-to)	1-19
Number of pages	19
Journal	Journal of Mathematical Analysis and Applications
Volume	291
Issue number	1
Publication status	Published - 2004

Keywords

ZX CWTS JFIS < 1.00

Cite this

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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",

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AU - Sweers, GH

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N2 - 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

AB - 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

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