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Dipierro, Serena [Author]; Soave, Nicola [Author]; Valdinoci, Enrico [Author]

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

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  • Media type: Report; E-Book; Text
  • Title: On fractional elliptic equations in Lipschitz sets and epigraphs: Regularity, monotonicity and rigidity results
  • Contributor: Dipierro, Serena [Author]; Soave, Nicola [Author]; Valdinoci, Enrico [Author]
  • imprint: Weierstrass Institute for Applied Analysis and Stochastics publication server, 2016
  • Language: English
  • DOI: https://doi.org/10.20347/WIAS.PREPRINT.2256
  • Keywords: 35J91 ; 26A33 ; 60G22 ; article ; nonlocal semilinear equations -- sliding methods -- monotonicity -- regularity -- symmetry ; 35R11
  • Origination:
  • Footnote: Diese Datenquelle enthält auch Bestandsnachweise, die nicht zu einem Volltext führen.
  • Description: 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 [4].