Some remarks about the Morse index for convex Hamiltonians systems
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866913357914701824 |
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| author | Amadori, Anna Lisa |
| author_facet | Amadori, Anna Lisa |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_12740 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Some remarks about the Morse index for convex Hamiltonians systems Amadori, Anna Lisa Analysis of PDEs 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. |
| title | Some remarks about the Morse index for convex Hamiltonians systems |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2405.12740 |