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Author: Fiscella, Alessio × Subject: fractional Laplacian ×

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Now showing 1 - 2 of 2
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    Asymptotically linear problems driven by fractional Laplacian operators
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Fiscella, Alessio; Servadei, Raffaella; Valdinoci, Enrico
    In this paper we study a non-local fractional Laplace equation, depending on a parameter, with asymptotically linear right-hand side. Our main result concerns the existence of weak solutions for this equation and it is obtained using variational and topological methods. We treat both the nonresonant case and the resonant one.
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    Gevrey regularity for integro-differential operators
    (Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Albanese, Guglielmo; Fiscella, Alessio; Valdinoci, Enrico
    We prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of elliptic type.