WIAS Preprint No. 1984, (2014)

A rigidity result for nonlocal semilinear equations



Authors

  • Farina, Alberto
  • Valdinoci, Enrico
    ORCID: 0000-0001-6222-2272

2010 Mathematics Subject Classification

  • 35R11 35B53 35R09

Keywords

  • Nonlocal integro-differential semilinear equations, Liouville-type theorems, nondecreasing nonlinearities

Abstract

We consider a possibly anisotropic integro-differential semilinear equation, run by a nondecreasing and nontrivial nonlinearity. We prove that if the solution grows at infinity less than the order of the operator, then it must be constant.

Appeared in

  • Proc. Roy. Soc. Edinburgh Sec. A DOI: 10.1017/S0308210516000391, published online: 31 May 2017.

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