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Boundedness and Decay of Solutions for Some Fractional Magnetic Schrödinger Equations in \({\mathbb{R}^N}\)

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Abstract

We prove that nontrivial weak solutions of a class of fractional magnetic Schrödinger equations in \({\mathbb{R}^N}\) are bounded and vanish at infinity.

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Acknowledgements

The author warmly thanks the anonymous referee for her/his useful and nice comments on the paper.

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  1. Department of Mathematics, EPFL SB CAMA, Station 8, CH-1015, Lausanne, Switzerland

    Vincenzo Ambrosio

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  1. Vincenzo Ambrosio
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Ambrosio, V. Boundedness and Decay of Solutions for Some Fractional Magnetic Schrödinger Equations in \({\mathbb{R}^N}\). Milan J. Math. 86, 125–136 (2018). https://doi.org/10.1007/s00032-018-0283-3

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