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arXiv · 1402.4202

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

Christos Sourdis
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Abstract

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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Christos Sourdis. 2014-02-18. A Liouville theorem for minimizers with finite potential energy for the vectorial Allen-Cahn equation. https://arxiv.org/abs/1402.4202

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