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Positive bound states for fractional Schrödinger-Poisson system with critical exponent - MaRDI portal

Positive bound states for fractional Schrödinger-Poisson system with critical exponent (Q2184879)

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Positive bound states for fractional Schrödinger-Poisson system with critical exponent
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    Positive bound states for fractional Schrödinger-Poisson system with critical exponent (English)
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    2 June 2020
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    The authors show the existence of a nontrivial solution for a fractional critical Schrödinger-Poisson system without perturbation terms. They use topological arguments that were used in [\textit{W. Chen} et al., Commun. Pure Appl. Math. 59, No. 3, 330--343 (2006; Zbl 1093.45001)] for a critical Schrödinger-Poisson system.
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    fractional Schrödinger-Poisson system
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    bound state
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    variational method
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