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 AIMS Mathematics Article
PDF (262.9 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

Evolutionary problems driven by variational inequalities with multiple integral functionals

Savin Treanţă1,2,3, Muhammad Bilal Khan4, Soubhagya Kumar Sahoo5, Thongchai Botmart6( )
Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania
Fundamental Sciences Applied in Engineering Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania
Department of Mathematics, COMSATS University Islamabad, 44000 Islamabad, Pakistan
Department of Mathematics, Institute of Technical Education and Research, Siksha O Anusandhan University, Bhubaneswar 751030, Odisha, India
Department of Mathematics, Faculty of Science, Khon Kaen University, 40002 Khoon Kaen, Thailand
Show Author Information

Abstract

In this paper, the authors focus on extending the well-known weak sharp solutions for variational inequalities to a controlled variational-type inequality governed by convex multiple integral functionals. Simultaneously, some equivalent conditions on weak sharpness associated with solutions of the considered inequality are obtained by using the minimum principle sufficiency property.

Keywords

controlled variational-type inequalityweak sharp solutionconvex multiple integral functionalminimum principle sufficiency propertydual gap functional
CLC number: 49J40, 65K10, 26B25, 49K20

References

【1】
【1】
 
 
Crossref Google Scholar
AIMS Mathematics
Volume 8 Issue 1,
January 2023
Pages 1488-1508
DOI: 10.3934/math.2023075

{{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:
Treanţă S, Khan MB, Sahoo SK, et al. Evolutionary problems driven by variational inequalities with multiple integral functionals. AIMS Mathematics, 2023, 8(1): 1488-1508. https://doi.org/10.3934/math.2023075

0

Views

0

Downloads

0

Crossref

0

Web of Science

0

Scopus
Received: 18 August 2022
Revised: 26 September 2022
Accepted: 10 October 2022
Published: 15 January 2023
©2023 the Author(s), licensee AIMS Press.

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