A Note on the Problem of Prescribing Gaussian Curvature on Surfaces

DOI10.2307/2154889zbMath0827.58050OpenAlexW4246132577MaRDI QIDQ4698786

Wei-Yue Ding, Jia Quan Liu

Publication date: 4 December 1995

Full work available at URL: https://doi.org/10.2307/2154889

zbMATH Keywords

Gaussian curvatureLaplace operatorsconformally equivalent metrics

Mathematics Subject Classification ID

Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

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Cites Work

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• Prescribing Gaussian curvature on S 2
• Conformal deformations of metric on \({\mathcal S}\) 2
• Infinite dimensional Morse theory and multiple solution problems
• Curvature functions for compact 2-manifolds
• ON NIRENBERG'S PROBLEM