On the minimal mass blow-up solutions for the nonlinear Schrödinger equation with Hardy potential. (August 2020)

• Record Type: Journal Article
• Authors: Pan, Jingjing; Zhang, Jian
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: 35Q55 -- 35B44 -- 35C06; Nonlinear Schrödinger equation -- Hardy potential -- Refined compactness -- Minimal mass blow-up solutions -- Precise concentration; 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.2020.111829
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: This paper deals with the blow-up solutions of the nonlinear Schrödinger equation with Hardy potential. In terms of the existence for the minimal mass blow-up solutions and the refined compactness lemma, we get precise concentration result of the minimal mass blow-up solutions for the Cauchy problem.