Semilinear elliptic equations for the fractional Laplacian with Hardy potential. (April 2020)

• Record Type: Journal Article
• Authors: Fall, Mouhamed Moustapha
• Is Part Of: Nonlinear analysis. Volume 193(2020)
• Publication Date: 2020-04
• Subjects: Hardy inequality -- Critical exponent -- Nonexistence -- Distributional solutions -- Fractional Laplacian; 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.2018.07.008
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we study existence and nonexistence of nonnegative distributional solutions for a class of semilinear fractional elliptic equations involving the Hardy potential.