Low complexity solutions of the Allen-Cahn equation on three-spheres
classification
🧮 math.DG
keywords
allen-cahnequationsolutionsbumpycombinescomplexityexistfour
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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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