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Admissible solutions for Dirac equations with singular and non-monotone nonlinearity

Part of: Boundary value problems

Published online by Cambridge University Press:  25 February 2011

Yujun Dong  and
Jing Xie
Yujun Dong
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China, (yjdong@njnu.edu.cn)
Jing Xie
Affiliation:
Department of Mathematics, Nanjing Normal University, Nanjing, Jiangsu 210097, People's Republic of China, (yjdong@njnu.edu.cn)
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Abstract

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By making use of Merle's general shooting method we investigate Dirac equations of the form

Here it is possible that F(0) = −∞ and that F(s) defined on (0,+∞) is not monotonously nondecreasing. Our results cover some known ones as a special case.

Keywords

admissible solutionsDirac equationssingular and non-monotone nonlinearitygeneral shooting methods

MSC classification

Secondary: 34B15: Nonlinear boundary value problems
Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 54 , Issue 2 , June 2011 , pp. 363 - 371
Copyright
Copyright © Edinburgh Mathematical Society 2011

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