Article ID Journal Published Year Pages File Type
4613916 Journal of Mathematical Analysis and Applications 2016 28 Pages PDF
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
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