Zeitschrift für Analysis und ihre Anwendungen
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Published online: 2019-10-23
Fractional $p$-Laplacian Problems with Hardy Terms and Critical ExponentsAlessio Fiscella and Hadi Mirzaee (1) Universidade Estadual de Campinas, Brazil
(2) Kharazmi University, Tehran, Iran
In this paper, we study a class of fractional $p$-Laplacian problems involving a Hardy potential and Hardy–Sobolev terms in bounded domains. Through variational methods combined with the theory of genus, we prove that our problems admit infinitely many solutions.
Keywords: Fractional $p$-Laplacian, Hardy term, critical exponents
Fiscella Alessio, Mirzaee Hadi: Fractional $p$-Laplacian Problems with Hardy Terms and Critical Exponents. Z. Anal. Anwend. 38 (2019), 483-498. doi: 10.4171/ZAA/1647