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.

HARDY-LITTLEWOOD-SOBOLEV SYSTEMS AND RELATED LIOUVILLE THEOREMS

D'AMBROSIO, Lorenzo;
2014-01-01

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11586/37125
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