EXISTENCE OF SOLUTIONS FOR NONLINEAR p-LAPLACIAN DIFFERENCE EQUATIONS

被引：6

作者：

Saavedra, Lorena ^{[1
]}

Tersian, Stepan ^{[2
,3
]}

机构：

[1] Univ Santiago de Compostela, Inst Matemat, Santiago De Compostela, Spain

[2] Univ Ruse, Dept Math, Ruse, Bulgaria

[3] Bulgarian Acad Sci, Inst Math & Informat, BU-1113 Sofia, Bulgaria

来源：

TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2017年 / 50卷 / 01期

关键词：

p-Laplacian; difference equations; mountain-pass theorem; POSITIVE SOLUTIONS; HOMOCLINIC SOLUTIONS; SUBHARMONIC SOLUTIONS;

D O I：

10.12775/TMNA.2017.022

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is the study of existence of solutions for nonlinear 2nth-order difference equations involving p-Laplacian. In the first part, the existence of a nontrivial homoclinic solution for a discrete p-Laplacian problem is proved. The proof is based on the mountain-pass theorem of Brezis and Nirenberg. Then, we study the existence of multiple solutions for a discrete p-Laplacian boundary value problem. In this case the proof is based on the three critical points theorem of Averna and Bonanno.

引用

页码：151 / 167

页数：17

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