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.File in questo prodotto:
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