Article ID Journal Published Year Pages File Type
4612466 Journal of Differential Equations 2010 21 Pages PDF
Abstract
We are concerned with the existence of rapidly decaying solutions for the equation−div(K(x)∇u)=λK(x)|x|β|u|q−2u+K(x)|u|2∗−2u,x∈RN, where N⩾3, 2⩽q<2∗:=2N/(N−2), λ>0 is a parameter, K(x):=exp(|x|α/4), α⩾2 and the number β is given by β:=(α−2)(2∗−q)(2∗−2). We obtain a positive solution if 2
Related Topics
Physical Sciences and Engineering Mathematics Analysis
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