The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach

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

doi:10.1016/j.jmaa.2018.04.040

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Authors

Zhang, Xinguang

Liu, Lishan

Wu, Yong Hong

Cui, Y.

Date

2018

Type

Journal Article

Metadata

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Citation

Zhang, X. and Liu, L. and Wu, Y.H. and Cui, Y. 2018. The existence and nonexistence of entire large solutions for a quasilinear Schrödinger elliptic system by dual approach. Journal of Mathematical Analysis and Applications. 464 (2): pp. 1089-1106.

Source Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2018.04.040

ISSN

0022-247X

School

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

URI

http://hdl.handle.net/20.500.11937/69201

Collection

Curtin Research Publications

Abstract

© 2018 Elsevier Inc. In this paper, we establish some new results on the existence and nonexistence of radial large positive solutions for a modified Schrödinger system with a nonconvex diffusion term by a successive iteration technique and the dual approach. The necessary and sufficient condition for the existence of radial large positive solutions is established. Our results improve and extend many previous work in this field of research.