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Existence of ground states solutions for Dirac-Poisson systems

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Abstract

This paper concerns the ground state solutions for the system of partial differential equations known as the Dirac-Poisson system. Under suitable assumptions on the nonlinearity, we show the existence of nontrivial and ground state solutions.

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Acknowledgements

The author would like to thank the referees for their careful reading, critical comments and helpful suggestions, which helped to improve the quality of the paper.

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  1. Higher Institute of Science Computer and Mathematics Monastir, Monastir, Tunisia

    Abderrazek Benhassine

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  1. Abderrazek Benhassine
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Communicated by Liliane Maia.

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Benhassine, A. Existence of ground states solutions for Dirac-Poisson systems. São Paulo J. Math. Sci. 17, 978–993 (2023). https://doi.org/10.1007/s40863-022-00284-1

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