Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains
Fuente:
arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866909118640422912 |
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| author | Malchiodi, Andrea Martinazzi, Luca Thizy, Pierre-Damien |
| author_facet | Malchiodi, Andrea Martinazzi, Luca Thizy, Pierre-Damien |
| contents | Given a smoothly bounded non-contractible domain $Ω\subset \mathbb{R}^2$, we prove the existence of positive critical points of the Trudinger-Moser embedding for arbitrary Dirichlet energies. This is done via degree theory, sharp compactness estimates and a topological argument relying on the Poincaré-Hopf theorem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10303 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains Malchiodi, Andrea Martinazzi, Luca Thizy, Pierre-Damien Analysis of PDEs Functional Analysis 35A16, 35J61 Given a smoothly bounded non-contractible domain $Ω\subset \mathbb{R}^2$, we prove the existence of positive critical points of the Trudinger-Moser embedding for arbitrary Dirichlet energies. This is done via degree theory, sharp compactness estimates and a topological argument relying on the Poincaré-Hopf theorem. |
| title | Critical points of arbitrary energy for the Trudinger-Moser functional in planar domains |
| topic | Analysis of PDEs Functional Analysis 35A16, 35J61 |
| url | https://arxiv.org/abs/2212.10303 |