Existence and uniqueness of solutions to Liouville equation

Alireza Ataei

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arXiv · 2501.18234

Existence and uniqueness of solutions to Liouville equation

Alireza Ataei

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Abstract

We prove some general results on the existence and uniqueness of solutions to the Liouville equation. Then, we discuss the sharpness and possible generalizations. Finally, we give several applications, arising in both mathematics and physics.

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Alireza Ataei. 2025-01-30. Existence and uniqueness of solutions to Liouville equation. https://arxiv.org/abs/2501.18234

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