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• W2020768291 abstract "In this paper, the author establishes the existence of positive entire solutions to a general class of semilinear poly-harmonic systems, which includes equations and systems of the weighted Hardy--Littlewood--Sobolev type. The novel method used implements the classical shooting method enhanced by topological degree theory. The key steps of the method are to first construct a target map which aims the shooting method and the non-degeneracy conditions guarantee the continuity of this map. With the continuity of the target map, a topological argument is used to show the existence of zeros of the target map. The existence of zeros of the map along with a non-existence theorem for the corresponding Navier boundary value problem imply the existence of positive solutions for the class of poly-harmonic systems." @default.
• W2020768291 created "2016-06-24" @default.
• W2020768291 creator A5069521456 @default.
• W2020768291 date "2014-08-01" @default.
• W2020768291 modified "2023-10-18" @default.
• W2020768291 title "Shooting with degree theory: Analysis of some weighted poly-harmonic systems" @default.
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• W2020768291 doi "https://doi.org/10.1016/j.jde.2014.05.003" @default.
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