Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4614596 | Journal of Mathematical Analysis and Applications | 2016 | 22 Pages |
Abstract
This paper concerns the following fourth-order problem{ϵ4Δ2u+V(x)u=P(x)(f(|u|)+|u|2⁎−2)u,x∈RN,u(x)→0as|x|→∞, where 2⁎=2NN−4, V and P are spatial distributions of external potentials. By variational methods, the concentration phenomena of the solutions as ϵ→0ϵ→0 is considered.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dong Wang,