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- W2950493375 abstract "In this paper, we are interested in bounded, entire, solutions of the Allen-Cahn equation which are defined in Euclidean space and whose zero set is asymptotic to a given minimal cone. In particular, in dimension larger than or equal to 8, we prove the existence of stable solutions of the Allen-Cahn equation whose zero sets are not hyperplanes." @default.
- W2950493375 created "2019-06-27" @default.
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- W2950493375 date "2011-02-16" @default.
- W2950493375 modified "2023-09-25" @default.
- W2950493375 title "Stable solutions of the Allen-Cahn equation in dimension 8 and minimal cones" @default.
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- W2950493375 doi "https://doi.org/10.48550/arxiv.1102.3446" @default.
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