Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4616266 | Journal of Mathematical Analysis and Applications | 2014 | 17 Pages |
Abstract
In this paper, the existence and multiplicity results of solutions for the following quasilinear elliptic problemequation(0.1){−div(|x|−ap|∇u|p−2∇u)+h(x)|u|p−2u=g(x)|u|r−2u,x∈Ω,|x|−ap|∇u|p−2∂u∂ν=λf(x)|u|q−2u,x∈∂Ω are established, where Ω is an exterior domain in RNRN with the compact and smooth boundary ∂Ω. By the variational methods, we prove that the problem (0.1) has at least two positive solutions. At the last part of the paper, we also consider the critical case and prove the existence of solution by concentration-compactness principle.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zonghu Xiu, Caisheng Chen,