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

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 solutio...

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Bibliographic Details
Main Authors: Zhang, X., Liu, L., Wu, Yong Hong, Caccetta, Louis
Format: Journal Article
Published: Academic Press 2015
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Online Access:http://hdl.handle.net/20.500.11937/43425
Description
Summary: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.