We study the Liouville equation Δµ = −e2u 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.
|Original language||English (US)|
|Number of pages||11|
|Journal||Proceedings of the American Mathematical Society|
|State||Published - Dec 1992|
All Science Journal Classification (ASJC) codes
- Applied Mathematics