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Existence and stability results for the planar Schrödinger-Poisson system

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Abstract

In this paper, we obtain existence and orbital stability results for the planar Schrödinger-Poisson system. Our results are based on the Gagliardo-Nirenberg inequality, the concentration-compactness principle, and the extremum principle in critical point theory.

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Authors and Affiliations

  1. College of Sciences, University of Shanghai for Science and Technology, Shanghai, 200093, People’s Republic of China

    Guoqing Zhang, Wenyan Guo & Weiguo Zhang

Authors
  1. Guoqing Zhang
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  2. Wenyan Guo
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  3. Weiguo Zhang
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Corresponding author

Correspondence to Guoqing Zhang.

Additional information

This research was supported by Shanghai Natural Science Foundation (No. 15ZR1429500).

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Zhang, G., Guo, W. & Zhang, W. Existence and stability results for the planar Schrödinger-Poisson system. Arch. Math. 107, 561–568 (2016). https://doi.org/10.1007/s00013-016-0958-3

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  • DOI: https://doi.org/10.1007/s00013-016-0958-3

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