scholarly journals Singular limits in higher order Liouville-type equations

2015 ◽  
Vol 22 (6) ◽  
pp. 1545-1571
Author(s):  
Fabrizio Morlando
Keyword(s):  
Higher Order ◽  
Liouville Type ◽  
Singular Limits

scholarly journals Singular limits in Liouville-type equations

2005 ◽  
Vol 24 (1) ◽  
pp. 47-81 ◽  
Author(s):  
Manuel del Pino ◽  
Michal Kowalczyk ◽  
Monica Musso
Keyword(s):  
Liouville Type ◽  
Singular Limits

scholarly journals A Liouville theorem for the higher-order fractional Laplacian

2019 ◽  
Vol 21 (02) ◽  
pp. 1850005 ◽  
Author(s):  
Ran Zhuo ◽  
Yan Li
Keyword(s):  
Positive Solutions ◽  
Fractional Laplacian ◽  
Liouville Theorem ◽  
Integral Form ◽  
Higher Order ◽  
Order Equation ◽  
Liouville Type ◽  
Liouville Type Theorems ◽  
Higher Order Equation ◽  
Fractional Equation

We study Navier problems involving the higher-order fractional Laplacians. We first obtain nonexistence of positive solutions, known as the Liouville-type theorems, in the upper half-space [Formula: see text] by studying an equivalent integral form of the fractional equation. Then we show symmetry for positive solutions on [Formula: see text] through a delicate iteration between lower-order differential/pseudo-differential equations split from the higher-order equation.

Liouville type theorem for higher order Hénon equations on a half space

2019 ◽  
Vol 183 ◽  
pp. 284-302 ◽  
Author(s):  
Wei Dai ◽  
Guolin Qin ◽  
Yang Zhang
Keyword(s):  
Half Space ◽  
Type Theorem ◽  
Higher Order ◽  
Liouville Type ◽  
Liouville Type Theorem
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