This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties.Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden.Abdellaoui, BoumedieneDieb, AbdelrazekValdinoci, Enrico2017-03-272019-06-2820162198-5855https://doi.org/10.34657/1839https://oa.tib.eu/renate/handle/123456789/2225The aim of this paper is to study a nonlocal equation with mixed Neumann and Dirichlet external conditions. We prove existence, nonexistence and multiplicity of positive energy solutions and analyze the interaction between the concave-convex nonlinearity and the Dirichlet-Neumann data.application/pdfeng510Integrodifferential operatorsfractional Laplacianweak solutionsmixed boundary conditionmultiplicity of positive solutionReport