Multiple solutions of p-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents

In this article, we are concerned with multiple solutions of Schrödinger-Choquard-Kirchhoff equations involving the fractional -Laplacian and Hardy-Littlewood-Sobolev critical exponents in . We classify the multiplicity of the solutions in accordance with the Kirchhoff term and different ranges of s...

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Veröffentlicht in:Advanced nonlinear studies 2023-04, Vol.23 (1), p.85-93
Hauptverfasser: Lin, Xiaolu, Zheng, Shenzhou, Feng, Zhaosheng
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Sprache:eng
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Zusammenfassung:In this article, we are concerned with multiple solutions of Schrödinger-Choquard-Kirchhoff equations involving the fractional -Laplacian and Hardy-Littlewood-Sobolev critical exponents in . We classify the multiplicity of the solutions in accordance with the Kirchhoff term and different ranges of shown in the nonlinearity by means of the variational methods and Krasnoselskii’s genus theory. As an immediate consequence, some recent related results have been improved and extended.
ISSN:2169-0375
2169-0375
DOI:10.1515/ans-2022-0059