Liouville equation and spherical convex polytopes
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- by Feng Luo and Gang Tian PDF
- Proc. Amer. Math. Soc. 116 (1992), 1119-1129 Request permission
Abstract:
We study the Liouville equation $\Delta u = - {e^{2u}}$ in the complex plane with prescribed singularities and obtain a necessary and sufficient condition for the existence of the solution. The proof is based on the continuity method and a uniqueness theorem.References
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Additional Information
- © Copyright 1992 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 116 (1992), 1119-1129
- MSC: Primary 53C21; Secondary 52A55
- DOI: https://doi.org/10.1090/S0002-9939-1992-1137227-5
- MathSciNet review: 1137227