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Research Article | Open Access

Homoclinic solutions of discrete p-Laplacian equations containing both advance and retardation

Peng Mei1,2, Zhan Zhou1,2( ), Yuming Chen3
School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, China
Guangzhou Center for Applied Mathematics, Guangzhou University, Guangzhou, 510006, China
Department of Mathematics, Wilfrid Laurier University, Waterloo, Ontario, N2L 3C5, Canada
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Abstract

We consider a 2mth-order nonlinear p-Laplacian difference equation containing both advance and retardation. Using the critical point theory, we establish some new and weaker criteria on the existence of homoclinic solutions with mixed nonlinearities.

Keywords

homoclinic solutionp-Laplacianmixed nonlinearitycritical point theory

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Electronic Research Archive
Volume 30 Issue 6,
June 2022
Pages 2205-2219
DOI: 10.3934/era.2022112

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Cite this article:
Mei P, Zhou Z, Chen Y. Homoclinic solutions of discrete p-Laplacian equations containing both advance and retardation. Electronic Research Archive, 2022, 30(6): 2205-2219. https://doi.org/10.3934/era.2022112

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Received: 11 September 2021
Revised: 12 December 2021
Accepted: 18 December 2021
Published: 15 June 2022
©2022 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0)