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

2014/02/18 by Sourdis, Christos
#Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.1402.4202

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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