Entire large solutions for a class of Schrödinger systems with a nonlinear random operator

Zhang, X.; Liu, L.; Wu, Yong Hong; Caccetta, Louis

doi:10.1016/j.jmaa.2014.10.068

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Authors

Zhang, X.

Liu, L.

Wu, Yong Hong

Caccetta, Louis

Date

2015

Type

Journal Article

Metadata

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Citation

Zhang, X. and Liu, L. and Wu, Y.H. and Caccetta, L. 2015. Entire large solutions for a class of Schrödinger systems with a nonlinear random operator. Journal of Mathematical Analysis and Applications. 423: pp. 1650-1659.

Source Title

Journal of Mathematical Analysis and Applications

DOI

10.1016/j.jmaa.2014.10.068

ISSN

0022-247X

School

Department of Mathematics and Statistics

URI

http://hdl.handle.net/20.500.11937/43425

Collection

Curtin Research Publications

Abstract

In this paper, we study the nonexistence and existence of radial large positive so-lutions for a class of Schrödinger systems with a nonlinear random operator under certain growth conditions. We also establish the necessary and sufficient conditions for the existence of radial large positive solutions by a successive iteration technique. The results of the paper improve and extend many previous work in this field of research.