Combined effects of Choquard and singular nonlinearities in fractional Kirchhoff problems

Autor: Wang Fuliang, Hu Die, Xiang Mingqi
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Advances in Nonlinear Analysis, Vol 10, Iss 1, Pp 636-658 (2020)
Druh dokumentu: article
ISSN: 2191-9496
2191-950X
DOI: 10.1515/anona-2020-0150
Popis: The aim of this paper is to study the existence and multiplicity of solutions for a class of fractional Kirchho problems involving Choquard type nonlinearity and singular nonlinearity. Under suitable assumptions, two nonnegative and nontrivial solutions are obtained by using the Nehari manifold approach combined with the Hardy-Littlehood-Sobolev inequality.
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