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arxiv: 1406.7223 · v2 · pith:ZBTQTEYWnew · submitted 2014-06-27 · 🧮 math.AP

A rigidity result for nonlocal semilinear equations

classification 🧮 math.AP
keywords semilinearanisotropicconsiderconstantequationequationsgrowsinfinity
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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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