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On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures - MaRDI portal

On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures (Q1165390)

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scientific article; zbMATH DE number 3766298
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English
On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
scientific article; zbMATH DE number 3766298

    Statements

    On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures (English)
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    1982
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    complete, non-compact Riemannian manifold
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    Gaussian curvature
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    conformal
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    Laplace-Beltrami operator
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    non-existence results
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    existence
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    prescribing scalar hermitian curvature
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    super- and sub-solutions method
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