Multiplicity of singular solutions to the fractional Yamabe problem on spheres
Fuente:
arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2023
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| _version_ | 1866910482450874368 |
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| author | Bettiol, Renato G. González, María del Mar Maalaoui, Ali |
| author_facet | Bettiol, Renato G. González, María del Mar Maalaoui, Ali |
| contents | We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on $S^n \setminus S^k$, using bifurcation techniques. These are singular (positive) solutions to a non-local equation with critical non-linearity. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2302_11073 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Multiplicity of singular solutions to the fractional Yamabe problem on spheres Bettiol, Renato G. González, María del Mar Maalaoui, Ali Differential Geometry Analysis of PDEs 35R11, 35J30, 35B32, 53C18, 53C21, 58J40, 58J55 We prove nonuniqueness results for complete metrics with constant positive fractional curvature conformal to the round metric on $S^n \setminus S^k$, using bifurcation techniques. These are singular (positive) solutions to a non-local equation with critical non-linearity. |
| title | Multiplicity of singular solutions to the fractional Yamabe problem on spheres |
| topic | Differential Geometry Analysis of PDEs 35R11, 35J30, 35B32, 53C18, 53C21, 58J40, 58J55 |
| url | https://arxiv.org/abs/2302.11073 |