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@article{ModicaMortola1977,
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@article{Modica1987,
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@misc{FSS2025,
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  year = {2025},
  eprint = {2509.02739v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  note = {Version 1, 2 September 2025},
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}

@article{WangWei2019,
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  note = {Final author manuscript dated 9 October 2019; Theorem 1.1 and Proposition 10.1},
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@article{Wang2017,
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@article{CFFS2025,
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  year = {2026},
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@incollection{DeGiorgi1979,
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@misc{LLWWW2026,
  author = {Liu, Yong and Luo, Tianci and Wang, Kelei and Wei, Juncheng and Wei, Yong and Wu, Ke},
  title = {Stable {De Giorgi} conjecture of the {Allen--Cahn} equation in {$\mathbb{R}^3$}},
  year = {2026},
  eprint = {2609.21680v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  note = {Version 1, 18 September 2026},
  url = {https://arxiv.org/pdf/2609.21680v1}
}

@misc{Schnuerer2003,
  author = {Schn{\"u}rer, Oliver C.},
  title = {Regularity and splitting of directed minimal cones},
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  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  note = {Version 1, 21 August 2003; unpublished manuscript},
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@article{JerisonMonneau2004,
  author = {Jerison, David and Monneau, R{\'e}gis},
  title = {Towards a counter-example to a conjecture of {De Giorgi} in high dimensions},
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@article{BDG1969,
  author = {Bombieri, Enrico and De Giorgi, Ennio and Giusti, Enrico},
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@article{PacardWei2013,
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@article{SchoenSimonYau1975,
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@article{AlbertiAmbrosioCabre2001,
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@incollection{Modica1989,
  author = {Modica, Luciano},
  title = {Monotonicity of the energy for entire solutions of semilinear elliptic equations},
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@misc{HongLiWang2026,
  author = {Hong, Han and Li, Haizhong and Wang, Gaoming},
  title = {The stable {Bernstein} theorem in {$\mathbb{R}^{7}$}},
  year = {2026},
  eprint = {2609.15720v1},
  archivePrefix = {arXiv},
  primaryClass = {math.DG},
  note = {Author preprint, arXiv:2609.15720v1, submitted 14 September 2026. Theorem~1.1},
  url = {https://arxiv.org/abs/2609.15720v1}
}

@misc{CFFFS2026,
  author = {Chan, Hardy and Fern{\'a}ndez-Real, Xavier and Figalli, Alessio and Florit-Simon, Enric and Serra, Joaquim},
  title = {Stable solutions of the {Allen--Cahn} equation in dimension three are one-dimensional},
  year = {2026},
  eprint = {2609.30194v1},
  archivePrefix = {arXiv},
  primaryClass = {math.AP},
  note = {Author preprint, arXiv:2609.30194v1, submitted 24 September 2026},
  url = {https://arxiv.org/abs/2609.30194v1}
}
