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arxiv: 1403.6097 · v1 · pith:TWDOWPC6new · submitted 2014-03-24 · 🧮 math.AP

On a maximum principle for vector minimizers to the Allen-Cahn energy

classification 🧮 math.AP
keywords principlemaximumalikakosallen-cahnallowsapproachassumptioncontinuation
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By using the unique continuation principle for linear elliptic systems, we can simplify the proof of a recent variational maximum principle due to Alikakos and Fusco. At the same time, this approach allows us to relax an assumption from the latter reference.

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