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arxiv: 1603.01960 · v2 · pith:R2I4Q52Qnew · submitted 2016-03-07 · 🧮 math.AP

Multiplicity of critical points for the fractional Allen-Cahn energy

classification 🧮 math.AP
keywords allen-cahncriticalenergyfractionalpointsadmitsanaloguebounded
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In this paper we study the fractional analogue of the Allen-Cahn energy in bounded domains, and we show that it admits a number of critical points which goes to infinity as the perturbation parameter tends to zero.

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