Some remarks about the Morse index for convex Hamiltonians systems
Abstract
We investigate the (linearized) Morse index of solutions to Hamiltonan systems, with a focus on convex Hamiltonians functions and sign-changing radial solutions. For strongly coupled systems, we describe the profile of the radial solutions and give an estimate of their Morse index.
- Publication:
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arXiv e-prints
- Pub Date:
- May 2024
- DOI:
- 10.48550/arXiv.2405.12740
- arXiv:
- arXiv:2405.12740
- Bibcode:
- 2024arXiv240512740A
- Keywords:
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- Mathematics - Analysis of PDEs