Alireza Ataei
Published 2025-01-30Version 1
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.
Estimates for Liouville equation with quantized singularities
Classification of solutions to the anisotropic $N$-Liouville equation in $\mathbb{R}^N$
Some geometric inequalities related to Liouville equation
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