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• W267017171 abstract "This paper deals with quasilinear elliptic differential inclusions defined in all of ℝN and governed in general by a nonpotential quasilinear elliptic operator of the Leray–Lions type and a multivalued term in form of a (nonmonotone) state-dependent subdifferential. We prove the existence of entire extremal solutions within a sector of an ordered pair of appropriately defined upper and lower solutions without imposing any condition at infinity. Therefore, standard variational methods cannot be applied here. Furthermore, due to the unboundedness of the domain and due to lack of monotonicity of the operators involved, no comparison results are available such that the problem under consideration becomes even more difficult." @default.
• W267017171 created "2016-06-24" @default.
• W267017171 creator A5088003935 @default.
• W267017171 date "2000-02-01" @default.
• W267017171 modified "2023-09-26" @default.
• W267017171 title "Extremal Solutions for Quasilinear Elliptic Inclusions in All of ℝN with State-Dependent Subdifferentials" @default.
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• W267017171 doi "https://doi.org/10.1023/a:1004609713176" @default.
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