Prescribing Gaussian curvature on $R^2$

DOI10.1090/S0002-9939-97-04150-6zbMath0887.53040MaRDI QIDQ4356726

San-Xing Wu

Publication date: 1 October 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

integral equationsemilinear elliptic PDEconformal curvatureprescribing Gaussian curvature

Mathematics Subject Classification ID

Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• On the structure of the conformal Gaussian curvature equation on \({\mathbb{R}}^ 2\)
• On the equation \(\Delta u+Ke^{2u}=f\) and prescribed negative curvature in \({\mathbb{R}}^ 2\)
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• On a certain limit problem for some class of parabolic differential equations of the fourth order
• Prescribing curvature on open surfaces
• On conformal deformation of nonpositive curvature on noncompact surfaces
• Curvature functions for compact 2-manifolds

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