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On the classification of entire solutions to the Allen-Cahn equation in any dimension
Abstract
The mathematical content that follows dates from 9 March 2016. I began writing it in early December 2014, whilst I was visiting Scuola Normale Superiore in Pisa, Italy. I would like to thank Luigi Ambrosio, Andrea Malchiodi, Carlo Mantegazza e Gérard Tronel who, between January 2015 and March 2016, read this version of the manuscript and some earlier drafts. Their feedback and constant support have been a source of encouragement. The manuscript has been at rest since March 2016. Neither its content nor its status will undergo changes in the future; it asks merely to be considered through the eyes of that moment. Paris, October 23, 2026, Alberto Farina
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BibTeX
@misc{farina2026classification,
title = {{On the classification of entire solutions to the Allen-Cahn equation in any dimension}},
author = {Alberto Farina},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01024},
eprint = {2611.01024},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01024},
}
RIS
TY - UNPB
TI - On the classification of entire solutions to the Allen-Cahn equation in any dimension
AU - Alberto Farina
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01024
UR - https://arxiv.org/abs/2611.01024
AB - The mathematical content that follows dates from 9 March 2016. I began writing it in early December 2014, whilst I was visiting Scuola Normale Superiore in Pisa, Italy. I would like to thank Luigi Ambrosio, Andrea Malchiodi, Carlo Mantegazza e Gérard Tronel who, between January 2015 and March 2016, read this version of the manuscript and some earlier drafts. Their feedback and constant support have been a source of encouragement. The manuscript has been at rest since March 2016. Neither its content nor its status will undergo changes in the future; it asks merely to be considered through the eyes of that moment. Paris, October 23, 2026, Alberto Farina
ER -