Journal article
Existence and uniqueness to a fully nonlinear version of the Loewner–Nirenberg problem: Dedicated to celebrate the sixtieth anniversary of USTC
- Abstract:
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We consider the problem of finding on a given Euclidean domain Ω of dimension n≥3 a complete conformally flat metric whose Schouten curvature A satisfies some equations of the form f(λ(−A))=1 . This generalizes a problem considered by Loewner and Nirenberg for the scalar curvature. We prove the existence and uniqueness of such metric when the boundary ∂Ω is a smooth bounded hypersurface (of codimension one). When ∂Ω contains a compact smooth submanifold Σ of higher codimension...
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- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Accepted manuscript, pdf, 353.6KB)
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- Publisher copy:
- 10.1007/s40304-018-0150-0
Authors
Bibliographic Details
- Publisher:
- Springer Berlin Heidelberg Publisher's website
- Journal:
- Communications in Mathematics and Statistics Journal website
- Volume:
- 6
- Issue:
- 3
- Pages:
- 269–288
- Publication date:
- 2018-08-25
- Acceptance date:
- 2018-06-21
- DOI:
- EISSN:
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2194-671X
- ISSN:
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2194-6701
Item Description
- Keywords:
- Pubs id:
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pubs:858717
- UUID:
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uuid:3da71d47-3461-49ad-b02c-de8f0d860d1d
- Local pid:
- pubs:858717
- Source identifiers:
-
858717
- Deposit date:
- 2018-06-21
Terms of use
- Copyright holder:
- School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature
- Copyright date:
- 2018
- Notes:
- Copyright © 2018 School of Mathematical Sciences, University of Science and Technology of China and Springer-Verlag GmbH Germany, part of Springer Nature. This is the accepted manuscript version of the article. The final version is available online from Springer at: https://doi.org/10.1007/s40304-018-0150-0
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