POSITIVE HOMOCLINIC SOLUTIONS FOR THE DISCRETE p-LAPLACIAN WITH A COERCIVE WEIGHT FUNCTION

被引：0

作者：

Iannizzotto, Antonio ^{[1
]}

Radulescu, Vicentiu D. ^{[2
,3
]}

机构：

[1] Univ Catania, Dipartimento Matemat & Informat, I-95125 Catania, Italy

[2] Romanian Acad, Inst Math Simion Stoilow, Bucharest 014700, Romania

[3] Univ Craiova, Dept Math, Craiova 200585, Romania

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2014年 / 27卷 / 1-2期

关键词：

DIFFERENCE-EQUATIONS; MULTIPLE SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study a p-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition. By means of critical-point theory and a discrete maximum principle, we prove the existence of a positive homoclinic solution.

引用

页码：35 / 44

页数：10

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