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.
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页码：151 / 167
页数：17
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