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Multiple solutions for a class of fractional Schrödinger-Poisson system - MaRDI portal

Multiple solutions for a class of fractional Schrödinger-Poisson system (Q2323541)

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Multiple solutions for a class of fractional Schrödinger-Poisson system
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    Multiple solutions for a class of fractional Schrödinger-Poisson system (English)
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    3 September 2019
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    Summary: We investigate a class of fractional Schrödinger-Poisson system via variational methods. By using symmetric mountain pass theorem, we prove the existence of multiple solutions. Moreover, by using dual fountain theorem, we prove the above system has a sequence of negative energy solutions, and the corresponding energy values tend to \(0\). These results extend some known results in previous papers.
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