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arXiv · 2405.12740

Some remarks about the Morse index for convex Hamiltonians systems

Anna Lisa Amadori
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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.

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Anna Lisa Amadori. 2024-05-21. Some remarks about the Morse index for convex Hamiltonians systems. https://arxiv.org/abs/2405.12740

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