Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5774550 | Journal of Mathematical Analysis and Applications | 2017 | 23 Pages |
Abstract
In this paper, we study the quasilinear Schrödinger equationâϵ2Îu+V(x)uâϵ2uÎ(u2)=Q(x)u3,uâH1(R3), where ϵ>0 is a parameter, V and Q are positive bounded functions. For the equation with three times growth, we establish the existence of ground states for ϵ small using the method of Nehari manifold. We also describe the concentration phenomena of ground states as ϵâ0.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Hui Zhang, Fubao Zhang,