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

被引：13

作者：

Mawhin, J ^{[1
]}

Ureña, AJ

机构：

[1] Univ Catholique Louvain, Inst Matemat Pura & Aplicada, B-1348 Louvain, Belgium

[2] Univ Granada, Dept Analisis Matemat, E-18071 Granada, Spain

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2002年 / 7卷 / 05期

关键词：

Hartman-Nagumo inequality; p-Laplacian; boundary value problems; periodic solutions;

D O I：

10.1080/1025583021000022469

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：701 / 725

页数：25

共 8 条

[1]

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[2]

Hartman P., 1960, T AM MATH SOC, V96, P493, DOI [10.1090/S0002-9947-1960-0124553-5, DOI 10.1090/S0002-9947-1960-0124553-5]

[3]

KNOBLOCH HW, 1971, J DIFFER EQUATIONS, V9, P67

[4] Periodic solutions for nonlinear systems with p-Laplacian-like operators [J].

Manasevich, R ;

Mawhin, J .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1998, 145 (02) :367-393

[5]

Manasevich R., 2000, J KOREAN MATH SOC, V37, P665

[6] Some boundary value problems for Hartman-type perturbations of the ordinary vector p-laplacian [J].

Mawhin, J .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2000, 40 (1-8) :497-503

[7]

Mawhin J, 2001, PROG NONLIN, V43, P37

[8]

Rouche N., 1973, EQUATIONS DIFFERENTI, V2

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