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On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\) - MaRDI portal

On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\) (Q1060344)

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scientific article; zbMATH DE number 3906968
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English
On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\)
scientific article; zbMATH DE number 3906968

    Statements

    On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\) (English)
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    1984
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    See the preview in Zbl 0549.35041.
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    nonlinear elliptic equation
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    prescribed nonpositive curvature
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    conformal deformation
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    Euclidean metric
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    weighted Sobolev spaces
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    fixed-point argument
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    existence
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