Stationary $p$-harmonic maps approaching planar singular harmonic maps to the circle
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908588541214720 |
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| author | Badran, Marco Van Schaftingen, Jean |
| author_facet | Badran, Marco Van Schaftingen, Jean |
| contents | Given a bounded planar domain $Ω\subset \mathbb{R}^2$, we show that any singular harmonic map into the circle $\mathbb{S}^1$ corresponding to a topologically nondegenerate critical point of the renormalised energy in the sense of Bethuel, Brezis and Hélein is a limit of stationary $p$-harmonic maps for $p < 2$ as $p \to 2$ |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2505_10424 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Stationary $p$-harmonic maps approaching planar singular harmonic maps to the circle Badran, Marco Van Schaftingen, Jean Analysis of PDEs 58E20, 35B25, 35J57, 35J92, 35Q56, 49K20 Given a bounded planar domain $Ω\subset \mathbb{R}^2$, we show that any singular harmonic map into the circle $\mathbb{S}^1$ corresponding to a topologically nondegenerate critical point of the renormalised energy in the sense of Bethuel, Brezis and Hélein is a limit of stationary $p$-harmonic maps for $p < 2$ as $p \to 2$ |
| title | Stationary $p$-harmonic maps approaching planar singular harmonic maps to the circle |
| topic | Analysis of PDEs 58E20, 35B25, 35J57, 35J92, 35Q56, 49K20 |
| url | https://arxiv.org/abs/2505.10424 |