Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4612466 | Journal of Differential Equations | 2010 | 21 Pages |
Abstract
We are concerned with the existence of rapidly decaying solutions for the equationâdiv(K(x)âu)=λK(x)|x|β|u|qâ2u+K(x)|u|2ââ2u,xâRN, where N⩾3, 2⩽q<2â:=2N/(Nâ2), λ>0 is a parameter, K(x):=exp(|x|α/4), α⩾2 and the number β is given by β:=(αâ2)(2ââq)(2ââ2). We obtain a positive solution if 2
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Marcelo F. Furtado, OlÃmpio H. Myiagaki, João Pablo P. da Silva,