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 / Mitidieri, Enzo; L., D'Ambrosio. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - ELETTRONICO. - 7:4(2014), pp. 653-671. [10.3934/dcdss.2014.7.653]
Hardy-Littlewood-Sobolev systems and related Liouville theorems
MITIDIERI, ENZO;
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 systemFile in questo prodotto:
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