09-91 Isabeau Birindelli, Enrico Valdinoci
On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional (42K, LaTeX) Jun 8, 09
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Abstract. We consider solutions of the Allen-Cahn equation in the whole Grushin plane and we show that if they are monotone in the vertical direction, then they are stable and they satisfy a good energy estimate. However, they are not necessarily one-dimensional, as a counter-example shows.

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