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An existence result for a fractional Kirchhoff–Schrödinger–Poisson system

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Abstract

By using minimax arguments we prove the existence of a nontrivial solution for a fractional Kirchhoff–Schrödinger–Poisson system in \(\mathbb {R}^{3}\) involving a Berestycki–Lions type nonlinearity.

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Acknowledgements

The author is very grateful to the referees for their detailed comments which improved the presentation of the paper in an essential way. The paper has been carried out under the auspices of the INdAM—GNAMPA Project 2017 titled: Teoria e modelli per problemi non locali.

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  1. Dipartimento di Scienze Pure e Applicate (DiSPeA), Università degli Studi di Urbino ‘Carlo Bo’, Piazza della Repubblica, 13, 61029, Urbino, Pesaro e Urbino, Italy

    Vincenzo Ambrosio

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Ambrosio, V. An existence result for a fractional Kirchhoff–Schrödinger–Poisson system. Z. Angew. Math. Phys. 69, 30 (2018). https://doi.org/10.1007/s00033-018-0921-1

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  • DOI: https://doi.org/10.1007/s00033-018-0921-1

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