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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2021
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2110.14543 |
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| _version_ | 1866909639695663104 |
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| author | Rosenberg, Steven Xu, Jie |
| author_facet | Rosenberg, Steven Xu, Jie |
| contents | We introduce an iterative scheme to solve the Yamabe equation $ - aΔ_{g} u + S u = λu^{p-1} $ on small domains $(Ω,g)\subset {\mathbb R}^n$ equipped with a Riemannian metric $g$. Thus $g$ admits a conformal change to a constant scalar curvature metric. The proof does not use the traditional functional minimization. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2110_14543 |
| institution | arXiv |
| publishDate | 2021 |
| record_format | arxiv |
| spellingShingle | Solving the Yamabe Problem by an Iterative Method on a Small Riemannian Domain Rosenberg, Steven Xu, Jie Differential Geometry 53B20, 35J15 We introduce an iterative scheme to solve the Yamabe equation $ - aΔ_{g} u + S u = λu^{p-1} $ on small domains $(Ω,g)\subset {\mathbb R}^n$ equipped with a Riemannian metric $g$. Thus $g$ admits a conformal change to a constant scalar curvature metric. The proof does not use the traditional functional minimization. |
| title | Solving the Yamabe Problem by an Iterative Method on a Small Riemannian Domain |
| topic | Differential Geometry 53B20, 35J15 |
| url | https://arxiv.org/abs/2110.14543 |