Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5773910 | Journal of Differential Equations | 2017 | 32 Pages |
Abstract
This paper deals with the following linearly coupled nonlinear Kirchhoff-type system:{â(a1+b1â«R3|âu|2dx)Îu+μ1u=f(u)+βvin R3,â(a2+b2â«R3|âv|2dx)Îv+μ2v=g(v)+βuin R3,u,vâH1(R3), where ai>0,biâ¥0,μi>0 are constants for i=1,2, β>0 is a parameter and f,gâC(R,R). Under the general Berestycki-Lions type assumptions on f and g, we establish the existence of positive vector solutions and positive vector ground state solutions respectively by using variational methods. We also study the asymptotic behavior of these solutions as βâ0+.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Dengfeng Lü, Shuangjie Peng,