Remark on a paper of Cheng and Smoller
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- by Vinod B. Goyal PDF
- Proc. Amer. Math. Soc. 113 (1991), 795-797 Request permission
Abstract:
A class of functions $K(r)$ and the corresponding solutions are produced in the case of the differential equation \[ \frac {{{d^2}u}}{{d{r^2}}} + \frac {1}{r}\frac {{du}}{{dr}} + K(r){e^{2u(r)}} = 1.\] The behavior of these solutions at an isolated singularity is also investigated.References
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Conformal metrics with prescribed Gaussian curvature on ${S^2}$, UAB International Conference on Differential Equations and Mathematical Physics (Abstracts), March 15-21, 1990, p. 48.
Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 113 (1991), 795-797
- MSC: Primary 58G30; Secondary 35J60, 53C21
- DOI: https://doi.org/10.1090/S0002-9939-1991-1055773-9
- MathSciNet review: 1055773