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- ItemAsymptotically linear problems driven by fractional Laplacian operators(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2014) Fiscella, Alessio; Servadei, Raffaella; Valdinoci, EnricoIn 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.
- ItemA critical Kirchhoff type problem involving a non-local operator(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Fiscella, Alessio; Valdinoci, EnricoWe show the existence of non-negative solutions for a Kirchhoff type problem driven by a non-local integrodifferential operator.
- ItemGevrey regularity for integro-differential operators(Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik, 2013) Albanese, Guglielmo; Fiscella, Alessio; Valdinoci, EnricoWe prove a regularity theory in the Gevrey class for a family of nonlocal differential equations of elliptic type.