HOMOCLINIC SOLUTIONS OF NONLINEAR LAPLACIAN DIFFERENCE EQUATIONS WITHOUT AMBROSETTI-RABINOWITZ CONDITION

• 作者: Antonella NASTASI Stepan TERSIAN Calogero VETRO
• 来源期刊: 数学物理学报（英文版）
• 年，卷（期）: 2021,（3）
• 页码范围: 712-718
• 页数: 7页
• 语种: 英文
• DOI: 10.3969/j.issn.0252-9602.2021.03.005

摘要

The aim of this paper is to establish the existence of at least two non-zero ho-moclinic solutions for a nonlinear Laplacian difference equation without using Ambrosetti-Rabinowitz type-conditions.The main tools are mountain pass theorem and Palais-Smale compactness condition involving suitable functionals.