On the Allen-Cahn equation in the Grushin plane: a monotone entire solution that is not one-dimensional
classification
🧮 math.AP
keywords
theyallen-cahnequationgrushinmonotoneone-dimensionalplaneconsider
read the original 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.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.