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Entire downward solitons to the scalar curvature flow in Minkowski space - MaRDI portal

Entire downward solitons to the scalar curvature flow in Minkowski space (Q6075029)

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scientific article; zbMATH DE number 7752600
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Entire downward solitons to the scalar curvature flow in Minkowski space
scientific article; zbMATH DE number 7752600

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    Entire downward solitons to the scalar curvature flow in Minkowski space (English)
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    20 October 2023
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    Summary: We investigate existence and uniqueness in Minkowski space of entire downward translating solitons with prescribed values at infinity, for a scalar curvature flow equation. The radial case translates into an ordinary differential equation and the general case into a fully non-linear elliptic PDE on \(\mathbb{R}^n\).
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    Minkowski space
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    scalar curvature flow equation
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    solitons
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    existence
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    uniqueness
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