Liouville type theorems for Hartree and Hartree–Fock equations. (June 2019)

• Record Type: Journal Article
• Authors: Yang, Jianfu; Yu, Xiaohui
• Is Part Of: Nonlinear analysis. Volume 183(2019)
• Page Start: 191
• Page End: 213
• Publication Date: 2019-06
• Subjects: 35J60 -- 35J57 -- 35J15; Liouville type theorem -- Moving plane method -- Maximum principle -- Nonlocal problem; 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.2019.01.012
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we establish Liouville type theorems for nonlinear elliptic systems related to Hartree and Hartree–Fock equations in quantum mechanics. The main ingredient we use is the moving plane method.