Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity
type: Item
instance of: scholarly article
title: Standing waves for the pseudo-relativistic Hartree equation with Berestycki-Lions nonlinearity
zbMATH Open document ID: 1479.35386
author: Fashun Gao
author: Vicenţiu D. Rădulescu
author: Yu Zheng
author: Minbo Yang
published in: Journal of Differential Equations
publication date: 2021-08-06T00:00:00Z
review text: The authors study a class of pseudo-relativistic Hartree equations with a Berestycki-Lions-type general hypotheses on the nonlinearity. The existence of a family of localized positive solutions is proved by penalization methods. Next the concentrate of the solutions at the local minimum points of the indefinite potential appearing in the equation is shown.
reviewed by: Leszek Gasiński
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35A15
zbMATH DE Number: 7379528
zbMATH Keywords: pseudo-relativistic Hartree equation
zbMATH Keywords: existence of positive solutions
zbMATH Keywords: concentration
zbMATH Keywords: penalization methods
MaRDI profile type: Publication
full work available at URL: j.jde.2021.05.047
OpenAlex ID: W3167625626
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DOI: 10.1016/J.JDE.2021.05.047
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description: scientific article; zbMATH DE number 7379528