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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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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
    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.
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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