On Homoclinic Solutions of a Semilinear p-Laplacian Difference Equation with Periodic Coefficients

被引：14

作者：

Cabada, Alberto ^{[1
]}

Li, Chengyue ^{[2
]}

Tersian, Stepan ^{[3
]}

机构：

[1] Univ Santiago de Compostela, Fac Matemat, Dept Anal Matemat, Santiago De Compostela 15782, Spain

[2] Minzu Univ China, Dept Math, Beijing 100081, Peoples R China

[3] Univ Rousse, Dept Math Anal, Rousse 7017, Bulgaria

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2010年

关键词：

BOUNDARY-VALUE-PROBLEMS; ORBITS;

D O I：

10.1155/2010/195376

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the existence of homoclinic solutions for semilinear p-Laplacian difference equations with periodic coefficients. The proof of the main result is based on Brezis-Nirenberg's Mountain Pass Theorem. Several examples and remarks are given.

引用

页数：17

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