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 Lineaire 35(3):781-801, 2018) and establish a quantization result for entire solutions of the singular n-Liouville equation.
Esposito, P. (2021). Isolated singularities for the n-Liouville equation. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS, 60(4) [10.1007/s00526-021-02017-2].
Isolated singularities for the n-Liouville equation
Esposito, P
2021-01-01
Abstract
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 Lineaire 35(3):781-801, 2018) and establish a quantization result for entire solutions of the singular n-Liouville equation.File in questo prodotto:
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