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

Authors

Xiaolu Lin
Shenzhou Zheng
Zhaosheng Feng, The University of Texas Rio Grande Valley

Document Type

Article

Publication Date

4-29-2023

Abstract

In this article, we are concerned with multiple solutions of Schrödinger-Choquard-Kirchhoff equations involving the fractional p -Laplacian and Hardy-Littlewood-Sobolev critical exponents in R N . We classify the multiplicity of the solutions in accordance with the Kirchhoff term M ( ⋅ ) and different ranges of q shown in the nonlinearity f ( x , ⋅ ) by means of the variational methods and Krasnoselskii’s genus theory. As an immediate consequence, some recent related results have been improved and extended.

Comments

© 2023 the author(s), published by De Gruyter

Recommended Citation

Lin, Xiaolu, Zheng, Shenzhou and Feng, Zhaosheng. "Multiple solutions of p-fractional Schrödinger-Choquard-Kirchhoff equations with Hardy-Littlewood-Sobolev critical exponents" Advanced Nonlinear Studies, vol. 23, no. 1, 2023, pp. 20220059. https://doi.org/10.1515/ans-2022-0059

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Publication Title

Advanced Nonlinear Studies

DOI

https://doi.org/10.1515/ans-2022-0059