Conformal Metrics with Prescribed Gaussian Curvature on S 2

DOI10.2307/2154345zbMath0783.53010OpenAlexW4237810386MaRDI QIDQ4038450

Kuo-Shung Cheng, J. A. Smoller

Publication date: 16 May 1993

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

Full work available at URL: https://doi.org/10.2307/2154345

zbMATH Keywords

conformal deformationsNirenberg's problem

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)

Related Items

Non-existence for a semi-linear fractional system with Sobolev exponents via direct method of moving spheres, Scalar curvature equation on \(S^n\). I: Topological conditions, Evaluating solutions on an elliptic problem in a gravitational gauge field theory, A problem of prescribing Gaussian curvature on $S^2$, A survey of solutions in a gravitational Born-Infeld theory, An ODE approach to the equation \(\Delta u + Ku^{{n+2}\over{n-2}}=0\) in \(\mathbb{R}^ n\), On the conformal Gaussian curvature equation in \(\mathbb{R}^2\), A note on the Kazdan-Warner type condition, A flow approach to Nirenberg's problem