AI Chat Paper
Note: Please note that the following content is generated by AMiner AI. SciOpen does not take any responsibility related to this content.
{{lang === 'zh_CN' ? '文章概述' : 'Summary'}}
{{lang === 'en_US' ? '中' : 'Eng'}}
Chat more with AI
Powered by AMiner. Clicking this button will take you away from SciOpen.
Home Electronic Research Archive Article
PDF (530.1 KB)
Cite
EndNote(RIS) BibTeX
Collect
Submit Manuscript AI Chat Paper
Show Outline
Outline
Show full outline
Hide outline
Outline
Show full outline
Hide outline
Research Article | Open Access

Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems

Yuhua Long1,2( ), Huan Zhang1,2
School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, China
Guangzhou University, Guangzhou Center for Applied Mathematics, Guangzhou 510006, China
Show Author Information

Abstract

In this paper, we study discrete elliptic Dirichlet problems. Applying a variational technique together with Morse theory, we establish several results on the existence and multiplicity of nontrivial solutions. Finally, two examples and numerical simulations are provided to illustrate our theoretical results.

Keywords

discrete elliptic Dirichlet problemlocal linkingMorse theorynontrivial solution

References

【1】
【1】
 
 
Crossref Google Scholar
Electronic Research Archive
Volume 30 Issue 7,
July 2022
Pages 2681-2699
DOI: 10.3934/era.2022137

{{item.num}}

Comments on this article

Go to comment

< Back to all reports

Review Status: {{reviewData.commendedNum}} Commended , {{reviewData.revisionRequiredNum}} Revision Required , {{reviewData.notCommendedNum}} Not Commended Under Peer Review

Review Comment

Cite this Report
Close
Close
Cite this article:
Long Y, Zhang H. Existence and multiplicity of nontrivial solutions to discrete elliptic Dirichlet problems. Electronic Research Archive, 2022, 30(7): 2681-2699. https://doi.org/10.3934/era.2022137

8

Views

0

Downloads

4

Crossref

5

Web of Science

5

Scopus
Received: 15 April 2022
Revised: 06 May 2022
Accepted: 09 May 2022
Published: 15 July 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)