A note on the Morse index of 2k-ended phase transitions in R^2
Analysis of PDEs
2017-08-22 v2 Differential Geometry
Abstract
We show that the Morse index of every 2k-ended solution of the Allen-Cahn equation in R^2 is >= k-1. This bound is expected to be sharp.
Cite
@article{arxiv.1705.07580,
title = {A note on the Morse index of 2k-ended phase transitions in R^2},
author = {Christos Mantoulidis},
journal= {arXiv preprint arXiv:1705.07580},
year = {2017}
}
Comments
This paper has been superseded by arXiv:1706.05946. Minor misprints corrected