Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4613916 | Journal of Mathematical Analysis and Applications | 2016 | 28 Pages |
Abstract
In this paper, we consider a class of generalized quasilinear Schrödinger equations with a Kirchhoff-type perturbation. Under the assumption that the potential may be vanishing at infinity, the existence of both the ground state and the ground state sign-changing solutions is established. Furthermore, the behavior of these solutions is studied when the perturbation vanishes. It is a surprise that we find an interesting phenomenon about the monotonicity for the quotient function as a byproduct.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Fuyi Li, Xiaoli Zhu, Zhanping Liang,