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arxiv: 1402.4202 · v1 · pith:TRDTOQROnew · submitted 2014-02-18 · 🧮 math.AP

A Liouville theorem for minimizers with finite potential energy for the vectorial Allen-Cahn equation

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keywords allen-cahnenergyequationfinitepotentialvectorialconstantglobally
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We prove that if a globally minimizing solution to the vectorial Allen-Cahn equation has finite potential energy, then it is a constant.

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