On the regularity of positive solutions of a class of Choquard type equations
type: Item
instance of: scholarly article
title: On the regularity of positive solutions of a class of Choquard type equations
zbMATH Open document ID: 1267.45010
author: Yutian Lei
published in: Mathematische Zeitschrift
publication date: 2013-03-28T00:00:00Z
review text: This paper is concerned with positive solutions of a class of Choquard type equations. The author studies regularity for integrable solutions by using regularity lifting lemmas. He also establishes the smoothness of those solutions. Choquard equations are equivalent to integral systems involving the Bessel potential and the Riesz potential. Several integral systems involving the Bessel potential were studied by \textit{L. Ma} and \textit{D. Chen} [Math. Comput. Modelling 49, No. 1--2, 379--385 (2009; Zbl 1165.35372)] and by \textit{F. Ma} et al. [Integral Equations Oper. Theory 69, No. 3, 393--404 (2011; Zbl 1227.45005)]. They also studied the integral system involving the Riesz potential.
reviewed by: Claudio Cuevas
Mathematics Subject Classification ID: 45G05
zbMATH DE Number: 6149046
zbMATH Keywords: Choquard equation
zbMATH Keywords: integral equations
zbMATH Keywords: integrability intervals
zbMATH Keywords: Hardy-Littlewood-Sobolev inequality
zbMATH Keywords: Bessel potential
zbMATH Keywords: regularity lifting lemmas
zbMATH Keywords: Riesz potential
MaRDI profile type: Publication
full work available at URL: s00209-012-1036-6
OpenAlex ID: W2021113068
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DOI: 10.1007/S00209-012-1036-6
description: scientific article; zbMATH DE number 6149046