Three homoclinic solutions for second-order \(p\)-Laplacian differential system
type: Item
instance of: scholarly article
title: Three homoclinic solutions for second-order \(p\)-Laplacian differential system
zbMATH Open document ID: 1303.34023
DOI: 10.1155/2013/183585
author: Jia Guo
author: Binxiang Dai
published in: Abstract and Applied Analysis
publication date: 2014-06-20T00:00:00Z
review text: Summary: We consider second-order \(p\)-Laplacian differential system. By using three critical points theorem, we establish a new criterion to guarantee that this \(p\)-Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result. Editorial remark: According to the retraction note, ``this article has been retracted since the limits of the three sequences included in the manuscript are likely to be the same, which cannot be ruled out in the proof. So, the three nontrivial homoclinic solutions in Theorem 15 are likely to be the same one.''
Mathematics Subject Classification ID: 34B40
Mathematics Subject Classification ID: 58E50
zbMATH DE Number: 6306109
Wikidata QID: Q58915471
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/183585
OpenAlex ID: W1970999016
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description: scientific article; zbMATH DE number 6306109