Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator

Zhang, Xinguang; Wu, Yong Hong; Cui, Y.

doi:10.1016/j.aml.2018.02.019

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Authors

Zhang, Xinguang

Wu, Yong Hong

Cui, Y.

Date

2018

Type

Journal Article

Metadata

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Citation

Zhang, X. and Wu, Y.H. and Cui, Y. 2018. Existence and nonexistence of blow-up solutions for a Schrödinger equation involving a nonlinear operator. Applied Mathematics Letters. 82: pp. 85-91.

Source Title

Applied Mathematics Letters

DOI

10.1016/j.aml.2018.02.019

ISSN

0893-9659

School

School of Electrical Engineering, Computing and Mathematical Science (EECMS)

URI

http://hdl.handle.net/20.500.11937/68024

Collection

Curtin Research Publications

Abstract

By introducing a growth condition and using an iterative technique, we establish the results for the nonexistence and existence of positive entire blow-up solutions for a Schrödinger equation involving a nonlinear operator. Our main results improve and extend some existing works. In addition, we also give an example to illustrate our results.