A problem of prescribing Gaussian curvature on $S^2$

DOI10.1090/S0002-9939-01-06330-4zbMath0973.35073OpenAlexW1639210282MaRDI QIDQ2750877

Sulbha Goyal, Vinod B. Goyal

Publication date: 21 October 2001

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-01-06330-4

zbMATH Keywords

metricLaplace operatorGaussian curvatureconformally equivalent

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Biharmonic and polyharmonic equations and functions in higher dimensions (31B30) Higher-order elliptic equations (35J30)

Related Items

Remark on ``A problem of prescribing Gaussian curvature on $S^2$" [\text{Proc. Amer. Math. Soc. 129 (2001), n\lowercase{o}. 12, 3757--3758}]

Cites Work

• Curvature functions for compact 2-manifolds
• Remark on a Paper of Cheng and Smoller
• Conformal Metrics with Prescribed Gaussian Curvature on S 2