The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach

Zhang, Xinguang; Liu, Lishan; Wu, Yong Hong

doi:10.1016/j.aml.2015.11.005

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Authors

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Date

2016

Type

Journal Article

Metadata

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Citation

Zhang, X. and Liu, L. and Wu, Y.H. 2016. The entire large solutions for a quasilinear Schrödinger elliptic equation by the dual approach. Applied Mathematics Letters. 55: pp. 1-9.

Source Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2015.11.005

ISSN

0893-9659

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/44484

Collection

Curtin Research Publications

Abstract

In this paper, we consider a Modified Nonlinear Schrödinger equation Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u)Δu−Δ(|u|2γ)|u|2γ−2u=q(x)F(u) on View the MathML sourceRn(n≥3), where View the MathML sourceγ>12, qq is a nonnegative continuous function on View the MathML sourceRn, FF is a continuous positive and non-decreasing function on [0,∞)[0,∞). We establish sufficient conditions for the existence and nonexistence of positive entire large solutions for the given equation by using the dual approach.