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  • Nontrivial solutions of superlinear nonlocal problems
    Molica Bisci, Giovanni, 1975- ; Repovš, Dušan, 1954- ; Servadei, Raffaella, 1973-
    We study the question of the existence of infinitely many weak solutions for nonlocal equations of fractional Laplacian type with homogeneous Dirichlet boundary data, in presence of a superlinear ... term. Starting from the well-known Ambrosetti-Rabinowitz condition, we consider different growth assumptions on the nonlinearity, all of superlinear type. We obtain three different existence results in this setting by using the Fountain Theorem, which extend some classical results for semilinear Laplacian equations to the nonlocal fractional setting.
    Vir: Forum mathematicum. - ISSN 0933-7741 (Vol. 28, iss. 6, 2016, str. 1095-1110)
    Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasle
    Leto - 2016
    Jezik - angleški
    COBISS.SI-ID - 17671001

vir: Forum mathematicum. - ISSN 0933-7741 (Vol. 28, iss. 6, 2016, str. 1095-1110)
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