Some remarks about the Morse index for convex Hamiltonians systems
Analysis of PDEs
2024-05-22 v1
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.
Keywords
Cite
@article{arxiv.2405.12740,
title = {Some remarks about the Morse index for convex Hamiltonians systems},
author = {Anna Lisa Amadori},
journal= {arXiv preprint arXiv:2405.12740},
year = {2024}
}