On the Allen-Cahn equation in the
Grushin plane: A monotone entire solution that is not
Isabeau Birindelli - Dipartimento di Matematica, Università di Roma La Sapienza, Piazzale Aldo Moro, 2, I-00185 Roma, Italy (email)
solutions of the
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.
Keywords: Symmetry problmes, Allen-Cahn equation, Grushin plane.
Received: November 2009; Revised: July 2010; Published: November 2010.
2011 Impact Factor.913