On some multilinear type integral systems. (September 2020)

• Record Type: Journal Article
• Authors: Pezzolo, Fabio
• Is Part Of: Nonlinear analysis. Volume 198(2020)
• Publication Date: 2020-09
• Subjects: Liouville theorems -- Beckner inequality -- Stein–Weiss inequality -- Multilinear fractional integral equations -- Lane–Emden system; 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.2020.111890
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we prove some Liouville theorems for systems of integral equations related to Beckner and Stein–Weiss inequalities on R N . We consider both variational and non-variational solutions. In order to study the first type of solutions we applied Rellich type identities.