MIXED TYPE BOUNDARY-VALUE PROBLEMS OF SECOND-ORDER DIFFERENTIAL SYSTEMS WITH P-LAPLACIAN

被引：0

作者：

Ge, Weigao ^{[1
]}

Tian, Yu ^{[2
]}

机构：

[1] Beijing Inst Technol, Dept Appl Math, Beijing 100081, Peoples R China

[2] Beijing Univ Posts & Telecommun, Sch Sci, Beijing 100876, Peoples R China

来源：

ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年

基金：

美国国家科学基金会;

关键词：

Mixed boundary value problem; p-Laplacian; duality principle; POSITIVE SOLUTIONS; EXISTENCE;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we show the existence of solutions to a mixed boundary-value problem of second-order differential systems with a p-Laplacian. The associated Hamiltonian actions are indefinite and the discussion of the existence of solutions is due to the application of duality principle.

引用

页数：9

共 50 条

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[3] Matrix Boundary-Value Problems for Differential Equations with P-Laplacian
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[4] POSITIVE SOLUTIONS FOR SECOND-ORDER BOUNDARY-VALUE PROBLEMS WITH φ-LAPLACIAN
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[5] PERIODIC BOUNDARY-VALUE PROBLEMS FOR SYSTEMS OF SECOND-ORDER DIFFERENTIAL EQUATIONS
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[J]. Journal of Mathematical Sciences, 2007, 141 (6) : 1710 - 1722
[7] Triple positive solutions of a boundary value problem for nonlinear singular second-order differential equations of mixed type with p-Laplacian
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[8] NON-HOMOGENEOUS BOUNDARY-VALUE PROBLEMS OF HIGHER ORDER DIFFERENTIAL EQUATIONS WITH p-LAPLACIAN
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[J]. ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2008,
[9] NONLINEAR BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER DIFFERENTIAL EQUATIONS
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[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1975, 50 (02) : 373 - 383
[10] BOUNDARY-VALUE PROBLEMS FOR SECOND-ORDER ORDINARY DIFFERENTIAL EQUATIONS
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[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1967, 3 (03) : 403 - &

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