- 09-91 Isabeau Birindelli, Enrico Valdinoci
- On the Allen-Cahn
equation in the Grushin plane:
a monotone entire solution
that is not one-dimensional
Jun 8, 09
(auto. generated ps),
of related papers
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.