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Isolated singularities for the n-Liouville equation
Calculus of Variations and Partial Differential Equations ( IF 2.1 ) Pub Date : 2021-06-29 , DOI: 10.1007/s00526-021-02017-2
Pierpaolo Esposito

In dimension n isolated singularities—at a finite point or at infinity—for solutions of finite total mass to the n-Liouville equation are of logarithmic type. As a consequence, we simplify the classification argument in Esposito (Anal Non Linéaire 35(3):781–801, 2018) and establish a quantization result for entire solutions of the singular n-Liouville equation.



中文翻译:

n-Liouville 方程的孤立奇点

n维孤立奇点——在有限点或无穷远——对于有限总质量的n -Liouville 方程的解是对数类型的。因此,我们简化了 Esposito (Anal Non Linéaire 35(3):781–801, 2018) 中的分类论证,并为奇异n- Liouville 方程的整个解建立了量化结果。

更新日期:2021-06-29
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