Existence of Solutions for a Class of Kirchhoff-Type Equation via Young Measures. (21st May 2021)

• Record Type: Journal Article
• Authors: Azroul, Elhoussine; Balaadich, Farah
• Is Part Of: Numerical functional analysis and optimization. Volume 42:Number 4(2021)
• Page Start: 460
• Page End: 473
• Publication Date: 2021-05-21
• Subjects: Kirchhoff equation -- nonlocal problems -- weak solutions -- Young measures; 35J60 -- 35J25 -- 35D30 -- 28Axx; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2021.1885044
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: In this article, our aim is to obtain weak solutions for a class of Kirchhoff-type problems − M ( ∫ Ω A ( x, ∇ u ) d x ) div a ( x, ∇ u ) = f ( x, u ) in Ω, by using the theory of Young measures.