Existence and uniqueness to a fully nonlinear version of the Loewner–Nirenberg problem: Dedicated to celebrate the sixtieth anniversary of USTC
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...
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| Formato: | Journal article |
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Springer Berlin Heidelberg
2018
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