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arxiv: 1506.00109 · v1 · pith:WKYTHL44new · submitted 2015-05-30 · 🧮 math.AP

A one-dimensional symmetry result for solutions of an integral equation of convolution type

classification 🧮 math.AP
keywords convolutionequationintegralone-dimensionalsolutionstypeconsiderleading
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We consider an integral equation in the plane, in which the leading operator is of convolution type, and we prove that monotone (or stable) solutions are necessarily one-dimensional.

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