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.Dipierro, SerenaSoave, NicolaValdinoci, Enrico2016-12-132019-06-2820162198-5855https://doi.org/10.34657/2834https://oa.tib.eu/renate/handle/123456789/1673We consider a nonlocal equation set in an unbounded domain with the epigraph property. We prove symmetry, monotonicity and rigidity results. In particular, we deal with halfspaces, coercive epigraphs and epigraphs that are flat at infinity. These results can be seen as the nonlocal counterpart of the celebrated article [4].application/pdfeng510Nonlocal semilinear equationssliding methodsmonotonicityregularitysymmetryReport