Uniqueness of conformal metrics with prescribed total curvature in \(\mathbb{R}^2\) (Q1572874)
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scientific article; zbMATH DE number 1484721
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Uniqueness of conformal metrics with prescribed total curvature in \(\mathbb{R}^2\) |
scientific article; zbMATH DE number 1484721 |
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Uniqueness of conformal metrics with prescribed total curvature in \(\mathbb{R}^2\) (English)
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29 October 2002
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The author investigates the structure of solutions of the equation \(\Delta u + K(x) \cdot e^{2u} = 0\) in \(\mathbb R^{2},\) and considers the problem of the uniqueness of solutions with prescribed total curvature. The curvature function \(K(x)\) is radially symmetric.
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prescribed total curvature
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conformal metrics on \(R^2\)
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