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Inventi Impact: Engineering Mathematics

Articles

  • Inventi:eem/28947/19
    Ground State Solutions for Fractional Choquard Equations with Potential Vanishing at Infinity
    Research 2019 : July - September
    Huxiao Luo, Shengjun Li, Chunji Li

    In this paper, we study a class of nonlinear Choquard equation driven by the fractional\nLaplacian. When the potential function vanishes at infinity, we obtain the existence of a ground state\nsolution for the fractional Choquard equation by using a non-Nehari manifold method. Moreover,\nin the zero mass case, we obtain a nontrivial solution by using a perturbation method. The results\nimprove upon those in Alves, Figueiredo, and Yang (2015) and Shen, Gao, and Yang (2016).

    How to Cite this Article
    Attribution/ CC Compliant Citation: Luo, Huxiao, Shengjun Li, and Chunji Li. \"Ground State Solutions for Fractional\nChoquard Equations with Potential Vanishing at Infinity.\" Mathematics 7.2 (2019): 151.\nhttps://doi:10.3390/math7020151\nhttp://creativecommons.org/licenses/by/4.0/\nSome formatting elements, header, footer, logos, dates and pagination were modified while adapting this article.
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