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arXiv · 1803.04830

Low complexity solutions of the Allen-Cahn equation on three-spheres

Robert Haslhofer·Mohammad N. Ivaki
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Abstract

In this short note, we prove that on the three-sphere with any bumpy metric there exist at least four solutions of the Allen-Cahn equation with spherical interface and index at most two. The proof combines several recent results from the literature.

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Robert Haslhofer, Mohammad N. Ivaki. 2018-03-13. Low complexity solutions of the Allen-Cahn equation on three-spheres. https://arxiv.org/abs/1803.04830

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