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arXiv · 1406.7223

A rigidity result for nonlocal semilinear equations

Alberto Farina·Enrico Valdinoci
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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.

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Alberto Farina, Enrico Valdinoci. 2014-06-27. A rigidity result for nonlocal semilinear equations. https://arxiv.org/abs/1406.7223

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