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arXiv:1604.07755 [math.AP]AbstractReferencesReviewsResources

On fractional elliptic equations in Lipschitz sets and epigraphs: regularity, monotonicity and rigidity results

Nicola Soave, Serena Dipierro, Enrico Valdinoci

Published 2016-04-26Version 1

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.

Categories: math.AP
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