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A rigidity result for nonlocal semilinear equations

Published 27 Jun 2014 in math.AP | (1406.7223v2)

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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