A note on the Morse index of 2k-ended phase transitions in R^2

arxiv: 1705.07580 · v2 · pith:FJF7SZWRnew · submitted 2017-05-22 · 🧮 math.AP · math.DG

A note on the Morse index of 2k-ended phase transitions in R²

Christos Mantoulidis This is my paper

classification 🧮 math.AP math.DG

keywords indexk-endedmorseallen-cahnboundequationeveryexpected

0 comments

read the original 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.

This paper has not been read by Pith yet.