Article ID Journal Published Year Pages File Type
4592020 Journal of Functional Analysis 2008 13 Pages PDF
Abstract

Consider the problem{−Δu+f(|x|λ)uλ2=|u|4N−2uinB1,u=0on∂B1, where B1B1 denotes the open unit ball in RNRN, N⩾3N⩾3 and λ>0λ>0. Under some general assumptions on f, we prove the existence or the non-existence of radial solutions. We consider also the case when λ is determined.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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