Evolutionary problems driven by variational inequalities with multiple integral functionals-Reference-Cited by-同舟云学术

Evolutionary problems driven by variational inequalities with multiple integral functionals

Published:2022 Issue:1 Volume:8 Page:1488-1508
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Treanţă Savin¹²³,Khan Muhammad Bilal⁴,Sahoo Soubhagya Kumar⁵,Botmart Thongchai⁶

Affiliation:

1. Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania

2. Academy of Romanian Scientists, 54 Splaiul Independentei, 050094 Bucharest, Romania

3. Fundamental Sciences Applied in Engineering Research Center (SFAI), University Politehnica of Bucharest, 060042 Bucharest, Romania

4. Department of Mathematics, COMSATS University Islamabad, 44000 Islamabad, Pakistan

5. Department of Mathematics, Institute of Technical Education and Research, Siksha O Anusandhan University, Bhubaneswar 751030, Odisha, India

6. Department of Mathematics, Faculty of Science, Khon Kaen University, 40002 Khoon Kaen, Thailand

Abstract

<abstract><p>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.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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1. Evolutionary problems driven by variational inequalities with multiple integral functionals;AIMS Mathematics;2023