Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8053182 | Applied Mathematics Letters | 2019 | 8 Pages |
Abstract
In this paper, we establish a global compactness result for (P.S.) sequences of the variational functional of the elliptic problem âÎuâμ|x|2u=1|x|s|u|2sââ2u+λu,xâΩ,u=0onâΩ,where ΩâRn, nâ¥3, is a bounded smooth domain with 0âΩ, μâ[0,(nâ2)2â4), sâ[0,2) and λâR are constants. This extends the global compactness result of Cao and Peng (2003) to the case of elliptic problems with double singular critical terms. Our arguments adapt some refined Sobolev inequalities systematically developed quite recently by Palatucci and Pisante (2014) and blow-up analysis. In this way, our arguments turn out to be quite transparent and easy to be applied to many other problems.
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Cheng-Jun He, Ting Yu,