Singular limit solutions for a 2-dimensional semilinear elliptic system of Liouville type in some general case adding singular sources (Part I). (July 2020)

• Record Type: Journal Article
• Authors: Baraket, Sami; Bazarbacha, Imen; Chetouane, Rima
• Is Part Of: Nonlinear analysis. Volume 196(2020)
• Publication Date: 2020-07
• Subjects: 35J65 -- 35B25 -- 46E35 -- 65M55; Liouville type system -- Singular limit solution -- Nonlinear domain decomposition method; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111799
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: We consider the existence of singular limit solutions for a nonlinear elliptic system of Liouville type in some general cases with singular source terms and Dirichlet boundary conditions. We use the nonlinear domain decomposition method.