A note on the Morse index of 2k-ended phase transitions in R^2
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.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2017
- DOI:
- arXiv:
- arXiv:1705.07580
- Bibcode:
- 2017arXiv170507580M
- Keywords:
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- Mathematics - Analysis of PDEs;
- Mathematics - Differential Geometry
- E-Print:
- This paper has been superseded by arXiv:1706.05946. Minor misprints corrected