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ON SCHRÖDINGER EQUATIONS WITH INDEFINITE NONLINEARITIES
Published online by Cambridge University Press: 10 March 2009
Abstract
In this paper we consider the problem of finding standing waves – solutions to nonlinear Schrödinger equations with vanishing potential and sign-changing nonlinearities. This involves searching for solutions of the problem (1)We show that the problem has a solution, and the maximum point of the solution is concentrated on a minimum point of some function as ε→0.
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 79 , Issue 1 , February 2009 , pp. 115 - 128
- Copyright
- Copyright © Australian Mathematical Society 2009
Footnotes
This work was supported by National Natural Sciences Foundations of China, No: 10571175 and 10631030.