Liouville equation and spherical convex polytopes

Feng Luo; Gang Tian

doi:10.1090/S0002-9939-1992-1137227-5

Liouville equation and spherical convex polytopes

Feng Luo
, Gang Tian

Mathematics

Research output: Contribution to journal › Article › peer-review

102 Scopus citations

Abstract

We study the Liouville equation Δµ = −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.

Original language	English (US)
Pages (from-to)	1119-1129
Number of pages	11
Journal	Proceedings of the American Mathematical Society
Volume	116
Issue number	4
DOIs	https://doi.org/10.1090/S0002-9939-1992-1137227-5
State	Published - Dec 1992

All Science Journal Classification (ASJC) codes

General Mathematics
Applied Mathematics

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10.1090/S0002-9939-1992-1137227-5

Cite this

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title = "Liouville equation and spherical convex polytopes",

abstract = "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.",

author = "Feng Luo and Gang Tian",

year = "1992",

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AU - Tian, Gang

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AB - 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.

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JF - Proceedings of the American Mathematical Society

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Liouville equation and spherical convex polytopes

Abstract

All Science Journal Classification (ASJC) codes

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