Liouville Equation and Spherical Convex Polytopes
- 1 December 1992
- journal article
- Published by JSTOR in Proceedings of the American Mathematical Society
- Vol. 116 (4), 1119-1129
- https://doi.org/10.2307/2159498
Abstract
We study the Liouville equation <!-- MATH $\Delta u = - {e^{2u}}$ --> 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.
Keywords
This publication has 3 references indexed in Scilit:
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