We address the one‐parameter minmax construction for the Allen–Cahn energy that has recently lead to a new proof of the existence of a closed minimal hypersurface in an arbitrary compact Riemannian manifold with (Guaraco's work, relying on works by Hutchinson, Tonegawa, and Wickramasekera when sending the Allen–Cahn parameter to 0). We obtain the following result: if the Ricci curvature of
- NSF-PAR ID:
- 10486937
- Publisher / Repository:
- Wiley Blackwell (John Wiley & Sons)
- Date Published:
- Journal Name:
- Communications on Pure and Applied Mathematics
- Volume:
- 77
- Issue:
- 3
- ISSN:
- 0010-3640
- Format(s):
- Medium: X Size: p. 2081-2137
- Size(s):
- ["p. 2081-2137"]
- Sponsoring Org:
- National Science Foundation
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