A rigidity result for non-local semilinear equations

Alberto Farina, Enrico Valdinoci

Research output: Contribution to journalArticle

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 languageEnglish
Pages (from-to)1009-1018
Number of pages10
JournalProceedings of the Royal Society of Edinburgh Section A: Mathematics
Volume147
Issue number5
DOIs
Publication statusPublished - 2017
Externally publishedYes

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Nonlocal Equations
Semilinear Equations
Integro-differential Equation
Rigidity
Infinity
Nonlinearity
Operator

Cite this

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

In: Proceedings of the Royal Society of Edinburgh Section A: Mathematics, Vol. 147, No. 5, 2017, p. 1009-1018.

Research output: Contribution to journalArticle

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AU - Farina, Alberto

AU - Valdinoci, Enrico

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

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