A rigidity result for non-local semilinear equations

Alberto Farina; Enrico Valdinoci

doi:10.1017/s0308210516000391

A rigidity result for non-local semilinear equations

Alberto Farina, Enrico Valdinoci

Research output: Contribution to journal › Article

2 Citations (Scopus)

Abstract

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).

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	https://doi.org/10.1017/s0308210516000391
Publication status	Published - 2017
Externally published	Yes

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title = "A rigidity result for non-local semilinear equations",

abstract = "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).",

author = "Alberto Farina and Enrico Valdinoci",

year = "2017",

doi = "10.1017/s0308210516000391",

language = "English",

volume = "147",

pages = "1009--1018",

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AU - Valdinoci, Enrico

PY - 2017

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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).

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DO - 10.1017/s0308210516000391

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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

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