### Abstract

Original language | English |
---|---|

Pages (from-to) | 1009-1018 |

Number of pages | 10 |

Journal | Proceedings of the Royal Society of Edinburgh Section A: Mathematics |

Volume | 147 |

Issue number | 5 |

DOIs | |

Publication status | Published - 2017 |

Externally published | Yes |

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### Cite this

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*Proceedings of the Royal Society of Edinburgh Section A: Mathematics*, vol. 147, no. 5, pp. 1009-1018. https://doi.org/10.1017/s0308210516000391

**A rigidity result for non-local semilinear equations.** / Farina, Alberto; Valdinoci, Enrico.

Research output: Contribution to journal › Article

TY - JOUR

T1 - A rigidity result for non-local semilinear equations

AU - Farina, Alberto

AU - Valdinoci, Enrico

PY - 2017

Y1 - 2017

N2 - We consider a possibly anisotropic integrodifferential semilinear equation, driven by a non-decreasing nonlinearity. We prove that if the solution grows less than the order of the operator at infinity, then it must be affine (possibly constant).

AB - We consider a possibly anisotropic integrodifferential semilinear equation, driven by a non-decreasing nonlinearity. We prove that if the solution grows less than the order of the operator at infinity, then it must be affine (possibly constant).

U2 - 10.1017/s0308210516000391

DO - 10.1017/s0308210516000391

M3 - Article

VL - 147

SP - 1009

EP - 1018

JO - PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH: SECTION A MATHEMATICS

JF - PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH: SECTION A MATHEMATICS

SN - 0308-2105

IS - 5

ER -