Hardy-Littlewood-Sobolev systems and related Liouville theorems

We prove some Liouville theorems for systems of integral equations and inequalities related to weighted Hardy-Littlewood-Sobolev inequality type on RN. Some semilinear singular or degenerate higher order elliptic inequalities associated to polyharmonic operators are considered. Special cases include the Henon-Lane-Emden system



Titolo: Hardy-Littlewood-Sobolev systems and related Liouville theorems
Autori: 
MITIDIERI, ENZO
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Data di pubblicazione: 2014
Rivista: 
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS  
Abstract: We prove some Liouville theorems for systems of integral equations and inequalities related to weighted Hardy-Littlewood-Sobolev inequality type on RN. Some semilinear singular or degenerate higher order elliptic inequalities associated to polyharmonic operators are considered. Special cases include the Henon-Lane-Emden system
Handle: http://hdl.handle.net/11368/2757558
Digital Object Identifier (DOI): http://dx.doi.org/10.3934/dcdss.2014.7.653
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