Homoclinic Solutions of Nonlinear Laplacian Difference Equations Without Ambrosetti-Rabinowitz Condition
نویسندگان
چکیده
The aim of this paper is to establish the existence at least two non-zero homoclinic solutions for a nonlinear Laplacian difference equation without using Ambrosetti-Rabinowitz type-conditions. main tools are mountain pass theorem and Palais-Smale compactness condition involving suitable functionals.
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ژورنال
عنوان ژورنال: Acta Mathematica Scientia
سال: 2021
ISSN: ['1572-9087', '0252-9602']
DOI: https://doi.org/10.1007/s10473-021-0305-z