Accepted Paper

Inserted: 7 dec 2016
Last Updated: 7 dec 2016

Journal: Mathematische Annalen
Year: 2016
Doi: 10.1007/s00208-016-1487-x
Links: Link

Abstract:

We 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 (Berestycki et al., Commun Pure Appl Math 50(11):1089–1111, 1997).

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