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

作　　者：Antonella NASTASI Stepan TERSIAN Calogero VETRO 

机构地区：[1]University of Palermo,Department of Mathematics and Computer Science,Via Archirafi 34,90123,Palermo,Italy [2]Institute of Mathematics and Informatics,Bulgarian Academy of Sciences,1113 Sofia,Bulgaria

出　　处：《Acta Mathematica Scientia》2021年第3期712-718,共7页数学物理学报（B辑英文版）

基　　金：supported by the Bulgarian National Science Fund under Project DN 12/4 “Advanced analytical and numerical methods for nonlinear differential equations with applications in finance and environmental pollution”, 2017。

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

关 键 词：Difference equations homoclinic solutions non-zero solutions (p q)-Laplacian operator 

分 类 号：O175[理学—数学]