CONSTANT-SIGN SOLUTIONS FOR A NONLINEAR NEUMANN PROBLEM INVOLVING THE DISCRETE p-LAPLACIAN

被引：15

作者：

Candito, Pasquale ^{[1
]}

D'Agui, Giuseppina ^{[2
]}

机构：

[1] Univ Reggio Calabria, Dept DICEAM, Via Graziella Feo Vito, I-89122 Reggio Di Calabria, Italy

[2] Univ Messina, Dept Civil Comp Construct Environm Engn & Appl Ma, I-98166 Messina, Italy

来源：

OPUSCULA MATHEMATICA | 2014年 / 34卷 / 04期

关键词：

constant-sign solution; difference equations; Neumann problem;

D O I：

10.7494/OpMath.2014.34.4.683

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the existence of constant-sign solutions for a non-linear Neumann boundary value problem involving the discrete p-Laplacian. Our approach is based on an abstract local minimum theorem and truncation techniques.

引用

页码：683 / 690

页数：8

共 25 条

[1]

Agarwal R. P, 2000, MONOGRAPHS TXB PURE, V2

[2] Multiple positive solutions of singular discrete p-Laplacian problems via variational methods [J].

Agarwal, Ravi P. ;

Perera, Kanishka ;

O'Regan, Donal .

ADVANCES IN DIFFERENCE EQUATIONS, 2005, 2005 (02) :93-99

[3]

Agarwal RP, 2004, NONLINEAR ANAL-THEOR, V58, P69, DOI 10.1016/j.na.2004.11.012

[4] ON MULTIPOINT BOUNDARY-VALUE-PROBLEMS FOR DISCRETE EQUATIONS [J].

AGARWAL, RP .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1983, 96 (02) :520-534

[5]

Anderson D. R., 2005, ADV DIFF EQU, V2, P93

[6] Boundary value problems for second-order nonlinear difference equations with discrete φ-Laplacian and singular φ [J].

Bereanu, Cristian ;

Mawhin, Jean .

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2008, 14 (10-11) :1099-1118

[7] Ground state and mountain pass solutions for discrete p(•)-Laplacian [J].

Bereanu, Cristian ;

Jebelean, Petru ;

Serban, Calin .

BOUNDARY VALUE PROBLEMS, 2012,

[8]

Bonanno G., EXISTENCE POSITIVE S

[9]

Bonanno G, 2010, HDB NONCONVEX ANAL, P1

[10]

Bonanno G, 2014, ADV NONLINEAR STUD, V14, P915

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