Journal of Inequalities and Applications 
Volume 7 (2002), Issue 5, Pages 701-725
doi:10.1155/S102558340200036X

A Hartman–Nagumo inequality for the vector ordinary p-Laplacian and applications to nonlinear boundary value problems

Jean Mawhin1 and Antonio J. Ureña2

 1Institut de Mathématique Pure et Appliquée, Université de Louvain, Louvain-la-Neuve B-1348, Belgium
2Departamento de Análisis Matemático, Universidad de Granada, Granada 18071, Spain
Received 1 March 2001

Abstract

A generalization of the well-known Hartman–Nagumo inequality to the case of the vector ordinary p-Laplacian and classical degree theory provide existence results for some associated nonlinear boundary value problems.